Python Programming
Table of content:
- What Is Python? An Introduction
- What Is The History Of Python?
- Key Features Of The Python Programming Language
- Who Uses Python?
- Basic Characteristics Of Python Programming Syntax
- Why Should You Learn Python?
- Applications Of Python Language
- Advantages And Disadvantages Of Python
- Some Useful Python Tips & Tricks For Efficient Programming
- Python 2 Vs. Python 3: Which Should You Learn?
- Python Libraries
- Conclusion
- Frequently Asked Questions
- It's Python Basics Quiz Time!
Table of content:
- Python At A Glance
- Key Features of Python Programming
- Applications of Python
- Bonus: Interesting features of different programming languages
- Summing up...
- FAQs regarding Python
- Take A Quiz To Rehash Python's Features!
Table of content:
- What Is Python IDLE?
- What Is Python Shell & Its Uses?
- Primary Features Of Python IDLE
- How To Use Python IDLE Shell? Setting Up Your Python Environment
- How To Work With Files In Python IDLE?
- How To Execute A File In Python IDLE?
- Improving Workflow In Python IDLE Software
- Debugging In Python IDLE
- Customizing Python IDLE
- Code Examples
- Conclusion
- Frequently Asked Questions (FAQs)
- How Well Do You Know IDLE? Take A Quiz!
Table of content:
- What Is A Variable In Python?
- Creating And Declaring Python Variables
- Rules For Naming Python Variables
- How To Print Python Variables?
- How To Delete A Python Variable?
- Various Methods Of Variables Assignment In Python
- Python Variable Types
- Python Variable Scope
- Concatenating Python Variables
- Object Identity & Object References Of Python Variables
- Reserved Words/ Keywords & Python Variable Names
- Conclusion
- Frequently Asked Questions
- Rehash Python Variables Basics With A Quiz!
Table of content:
- What Is A String In Python?
- Creating String In Python
- How To Create Multiline Python Strings?
- Reassigning Python Strings
- Accessing Characters Of Python Strings
- How To Update Or Delete A Python String?
- Reversing A Python String
- Formatting Python Strings
- Concatenation & Comparison Of Python Strings
- Python String Operators
- Python String Functions
- Escape Sequences In Python Strings
- Conclusion
- Frequently Asked Questions
- Rehash Python Strings Basics With A Quiz!
Table of content:
- What Is Python Namespace?
- Lifetime Of Python Namespace
- Types Of Python Namespace
- The Built-In Namespace In Python
- The Global Namespace In Python
- The Local Namespace In Python
- The Enclosing Namespace In Python
- Variable Scope & Namespace In Python
- Python Namespace Dictionaries
- Changing Variables Out Of Their Scope & Python Namespace
- Best Practices Of Python Namespace
- Conclusion
- Frequently Asked Questions
- Test Your Knowledge Of Python Namespaces!
Table of content:
- What Are Relational Operators In Python?
- Type Of Relational Operators In Python
- Equal-To Relational Operator In Python
- Greater Than Relational Operator In Python
- Less-Than Relational Operator In Python
- Not Equal-To Relational Operator In Python
- Greater-Than Or Equal-To Relational Operator In Python
- Less-Than Or Equal-To Relational Operator In Python
- Why And When To Use Relational Operators?
- Precedence & Associativity Of Relational Operators In Python
- Advantages & Disadvantages Of Relational Operators In Python
- Real-World Applications Of Relational Operators In Python
- Conclusion
- Frequently Asked Questions
Table of content:
- What Are Logical Operators In Python?
- The AND Python Logical Operator
- The OR Python Logical Operator
- The NOT Python Logical Operator
- Short-Circuiting Evaluation Of Python Logical Operators
- Precedence of Logical Operators In Python
- How Does Python Calculate Truth Value?
- Final Note On How AND & OR Python Logical Operators Work
- Conclusion
- Frequently Asked Questions
- Python Logical Operators Quiz– Test Your Knowledge!
Table of content:
- What Is The Print() Function In Python?
- How Does The print() Function Work In Python?
- How To Print Single & Multi-line Strings In Python?
- How To Print Built-in Data Types In Python?
- Print() Function In Python For Values Stored In Variables
- Print() Function In Python With sep Parameter
- Print() Function In Python With end Parameter
- Print() Function In Python With flush Parameter
- Print() Function In Python With file Parameter
- How To Remove Newline From print() Function In Python?
- Use Cases Of The print() Function In Python
- Understanding Print Statement In Python 2 Vs. Python 3
- Conclusion
- Frequently Asked Questions
- Know The print() Function In Python? Take A Quiz!
Table of content:
- Working Of Normal Print() Function
- The New Line Character In Python
- How To Print Without Newline In Python | Using The End Parameter
- How To Print Without Newline In Python 2.x? | Using Comma Operator
- How To Print Without Newline In Python 3.x?
- How To Print Without Newline In Python With Module Sys
- The Star Pattern(*) | How To Print Without Newline & Space In Python
- How To Print A List Without Newline In Python?
- How To Remove New Lines In Python?
- Conclusion
- Frequently Asked Questions
- Think You Can Print Without a Newline in Python? Prove It!
Table of content:
- What Is A Python For Loop?
- How Does Python For Loop Work?
- When & Why To Use Python For Loops?
- Python For Loop Examples
- What Is Rrange() Function In Python?
- Nested For Loops In Python
- Python For Loop With Continue & Break Statements
- Python For Loop With Pass Statement
- Else Statement In Python For Loop
- Conclusion
- Frequently Asked Questions
- Think You Know Python's For Loop? Prove It!
Table of content:
- What Is Python While Loop?
- How Does The Python While Loop Work?
- How To Use Python While Loops For Iterations?
- Control Statements In Python While Loop With Examples
- Python While Loop With Python List
- Infinite Python While Loop in Python
- Python While Loop Multiple Conditions
- Nested Python While Loops
- Conclusion
- Frequently Asked Questions
- Mastered Python While Loop? Let’s Find Out!
Table of content:
- Understanding Python Infinite Loops
- How To Write An Infinite Loop In Python
- When Are Infinite Loops In Python Necessary?
- Types Of Infinite Loops In Python
- Python Infinite Loop With Control Statements
- Finite Vs Infinite Loops In Python
- How To Avoid Python Infinite Loops?
- Conclusion
- Frequently Asked Questions
Table of content:
- What Are Conditional If-Else Statements In Python?
- Types Of If-Else Statements In Python
- If Statement In Python
- If-Else Statement In Python
- Nested If-Else Statement In Python
- Elif Statement In Python
- Ladder If-Elif-Else Statement In Python
- Short Hand If-Statement In Python
- Short Hand If-Else Statement In Python
- Operators & If-Esle Statement In Python
- Other Statements With If-Else In Python
- Conclusion
- Frequently Asked Questions
- Quick If-Else Statement Quiz– Let’s Go!
Table of content:
- What Is Control Structure In Python?
- Types Of Control Structures In Python
- Sequential Control Structures In Python
- Decision-Making Control Structures In Python
- Repetition Control Structures In Python
- Benefits Of Using Control Structures In Python
- Conclusion
- Frequently Asked Questions
- Control Structures in Python – Are You the Master? Take A Quiz!
Table of content:
- What Are Python Libraries?
- How Do Python Libraries Work?
- Standard Python Libraries (With List)
- Important Python Libraries For Data Science
- Important Python Libraries For Machine & Deep Learning
- Other Important Python Libraries You Must Know
- Working With Third-Party Python Libraries
- Troubleshooting Common Issues For Python Libraries
- Python Libraries In Larger Projects
- Importance Of Python Libraries
- Conclusion
- Frequently Asked Questions
- Quick Quiz On Python Libraries – Let’s Go!
Table of content:
- What Are Python Functions?
- How To Create/ Define Functions In Python?
- How To Call A Python Function?
- Types Of Python Functions Based On Parameters & Return Statement
- Rules & Best Practices For Naming Python Functions
- Basic Types of Python Functions
- The Return Statement In Python Functions
- Types Of Arguments In Python Functions
- Docstring In Python Functions
- Passing Parameters In Python Functions
- Python Function Variables | Scope & Lifetime
- Advantages Of Using Python Functions
- Recursive Python Function
- Anonymous/ Lambda Function In Python
- Nested Functions In Python
- Conclusion
- Frequently Asked Questions
- Python Functions – Test Your Knowledge With A Quiz!
Table of content:
- What Are Python Built-In Functions?
- Mathematical Python Built-In Functions
- Python Built-In Functions For Strings
- Input/ Output Built-In Functions In Python
- List & Tuple Python Built-In Functions
- File Handling Python Built-In Functions
- Python Built-In Functions For Dictionary
- Type Conversion Python Built-In Functions
- Basic Python Built-In Functions
- List Of Python Built-In Functions (Alphabetical)
- Conclusion
- Frequently Asked Questions
- Think You Know Python Built-in Functions? Prove It!
Table of content:
- What Is A round() Function In Python?
- How Does Python round() Function Work?
- Python round() Function If The Second Parameter Is Missing
- Python round() Function If The Second Parameter Is Present
- Python round() Function With Negative Integers
- Python round() Function With Math Library
- Python round() Function With Numpy Module
- Round Up And Round Down Numbers In Python
- Truncation Vs Rounding In Python
- Practical Applications Of Python round() Function
- Conclusion
- Frequently Asked Questions
- Revisit Python’s round() Function – Take The Quiz!
Table of content:
- What Is Python pow() Function?
- Python pow() Function Example
- Python pow() Function With Modulus (Three Parameters)
- Python pow() Function With Complex Numbers
- Python pow() Function With Floating-Point Arguments And Modulus
- Python pow() Function Implementation Cases
- Difference Between Inbuilt-pow() And math.pow() Function
- Conclusion
- Frequently Asked Questions
- Test Your Knowledge Of Python’s pow() Function!
Table of content:
- Python max() Function With Objects
- Examples Of Python max() Function With Objects
- Python max() Function With Iterable
- Examples Of Python max() Function With Iterables
- Potential Errors With The Python max() Function
- Python max() Function Vs. Python min() Functions
- Conclusion
- Frequently Asked Questions
- Think You Know Python max() Function? Take A Quiz!
Table of content:
- What Are Strings In Python?
- What Are Python String Methods?
- List Of Python String Methods For Manipulating Case
- List Of Python String Methods For Searching & Finding
- List Of Python String Methods For Modifying & Transforming
- List Of Python String Methods For Checking Conditions
- List Of Python String Methods For Encoding & Decoding
- List Of Python String Methods For Stripping & Trimming
- List Of Python String Methods For Formatting
- Miscellaneous Python String Methods
- List Of Other Python String Operations
- Conclusion
- Frequently Asked Questions
- Mastered Python String Methods? Take A Quiz!
Table of content:
- What Is Python String?
- The Need For Python String Replacement
- The Python String replace() Method
- Multiple Replacements With Python String.replace() Method
- Replace A Character In String Using For Loop In Python
- Python String Replacement Using Slicing Method
- Replace A Character At a Given Position In Python String
- Replace Multiple Substrings With The Same String In Python
- Python String Replacement Using Regex Pattern
- Python String Replacement Using List Comprehension & Join() Method
- Python String Replacement Using Callback With re.sub() Method
- Python String Replacement With re.subn() Method
- Conclusion
- Frequently Asked Questions
- Know How To Replace Python Strings? Prove It!
Table of content:
- What Is String Slicing In Python?
- How Indexing & String Slicing Works In Python
- Extracting All Characters Using String Slicing In Python
- Extracting Characters Before & After Specific Position Using String Slicing In Python
- Extracting Characters Between Two Intervals Using String Slicing In Python
- Extracting Characters At Specific Intervals (Step) Using String Slicing In Python
- Negative Indexing & String Slicing In Python
- Handling Out-of-Bounds Indices In String Slicing In Python
- The slice() Method For String Slicing In Python
- Common Pitfalls Of String Slicing In Python
- Real-World Applications Of String Slicing
- Conclusion
- Frequently Asked Questions
- Quick Python String Slicing Quiz– Let’s Go!
Table of content:
- Introduction To Python List
- How To Create A Python List?
- How To Access Elements Of Python List?
- Accessing Multiple Elements From A Python List (Slicing)
- Access List Elements From Nested Python Lists
- How To Change Elements In Python Lists?
- How To Add Elements To Python Lists?
- Delete/ Remove Elements From Python Lists
- How To Create Copies Of Python Lists?
- Repeating Python Lists
- Ways To Iterate Over Python Lists
- How To Reverse A Python List?
- How To Sort Items Of Python Lists?
- Built-in Functions For Operations On Python Lists
- Conclusion
- Frequently Asked Questions
- Revisit Python Lists Basics With A Quick Quiz!
Table of content:
- What Is List Comprehension In Python?
- Incorporating Conditional Statements With List Comprehension In Python
- List Comprehension In Python With range()
- Filtering Lists Effectively With List Comprehension In Python
- Nested Loops With List Comprehension In Python
- Flattening Nested Lists With List Comprehension In Python
- Handling Exceptions In List Comprehension In Python
- Common Use Cases For List Comprehensions
- Advantages & Disadvantages Of List Comprehension In Python
- Best Practices For Using List Comprehension In Python
- Performance Considerations For List Comprehension In Python
- For Loops & List Comprehension In Python: A Comparison
- Difference Between Generator Expression & List Comprehension In Python
- Conclusion
- Frequently Asked Questions
- Rehash Python List Comprehension Basics With A Quiz!
Table of content:
- What Is A List In Python?
- How To Find Length Of List In Python?
- For Loop To Get Python List Length (Naive Approach)
- The len() Function To Get Length Of List In Python
- The length_hint() Function To Find Length Of List In Python
- The sum() Function To Find The Length Of List In Python
- The enumerate() Function To Find Python List Length
- The Counter Class From collections To Find Python List Length
- The List Comprehension To Find Python List Length
- Find The Length Of List In Python Using Recursion
- Comparison Between Ways To Find Python List Length
- Conclusion
- Frequently Asked Questions
- Know How To Get Python List Length? Prove it!
Table of content:
- List of Methods To Reverse A Python List
- Python Reverse List Using reverse() Method
- Python Reverse List Using the Slice Operator ([::-1])
- Python Reverse List By Swapping Elements
- Python Reverse List Using The reversed() Function
- Python Reverse List Using A for Loop
- Python Reverse List Using While Loop
- Python Reverse List Using List Comprehension
- Python Reverse List Using List Indexing
- Python Reverse List Using The range() Function
- Python Reverse List Using NumPy
- Comparison Of Ways To Reverse A Python List
- Conclusion
- Frequently Asked Questions
- Time To Test Your Python List Reversal Skills!
Table of content:
- What Is Indexing In Python?
- The Python List index() Function
- How To Use Python List index() To Find Index Of A List Element
- The Python List index() Method With Single Parameter (Start)
- The Python List index() Method With Start & Stop Parameters
- What Happens When We Use Python List index() For An Element That Doesn't Exist
- Python List index() With Nested Lists
- Fixing IndexError Using The Python List index() Method
- Python List index() With Enumerate()
- Real-world Examples Of Python List index() Method
- Difference Between find() And index() Method In Python
- Conclusion
- Frequently Asked Questions
- Think You Know Python List Indexing? Take A Quiz!
Table of content:
- How To Remove Elements From List In Python?
- The remove() Method To Remove Element From Python List
- The pop() Method To Remove Element From List In Python
- The del Keyword To Remove Element From List In Python
- The clear() Method To Remove Elements From Python List
- List Comprehensions To Conditionally Remove Element From List In Python
- Key Considerations For Removing Elements From Python Lists
- Why We Need to Remove Elements From Python List
- Performance Comparison Of Methods To Remove Element From List In Python
- Conclusion
- Frequently Asked Questions
- Quiz– Prove You Know How To Remove Item From Python Lists!
Table of content:
- How To Remove Duplicates From A List In Python?
- The set() Function To Remove Duplicates From Python List
- Remove Duplicates From Python List Using For Loop
- Using List Comprehension Remove Duplicates From Python List
- Remove Duplicates From Python List Using enumerate() With List Comprehension
- Dictionary & fromkeys() Method To Remove Duplicates From Python List
- Remove Duplicates From Python List Using in, not in Operators
- Remove Duplicates From Python List Using collections.OrderedDict.fromkeys()
- Remove Duplicates From Python List Using Counter with freq.dist() Method
- The del Keyword Remove Duplicates From Python List
- Remove Duplicates From Python List Using DataFrame
- Remove Duplicates From Python List Using pd.unique and np.unipue
- Remove Duplicates From Python List Using reduce() function
- Comparative Analysis Of Ways To Remove Duplicates From Python List
- Conclusion
- Frequently Asked Questions
- Think You Know How to Remove Duplicates? Take A Quiz!
Table of content:
- What Is Python List & How To Access Elements?
- What Is IndexError: List Index Out Of Range & Its Causes In Python?
- Understanding Indexing Behavior In Python Lists
- How to Prevent/ Fix IndexError: List Index Out Of Range In Python
- Handling IndexError Gracefully Using Try-Except
- Debugging Tips For IndexError: List Index Out Of Range Python
- Conclusion
- Frequently Asked Questions
- Avoiding ‘List Index Out of Range’ Errors? Take A Quiz!
Table of content:
- What Is the Python sort() List Method?
- Sorting In Ascending Order Using The Python sort() List Method
- How To Sort Items In Descending Order Using Python sort() List Method
- Custom Sorting Using The Key Parameter Of Python sort() List Method
- Examples Of Python sort() List Method
- What Is The sorted() List Method In Python
- Differences Between sorted() And sort() List Methods In Python
- When To Use sorted() & When To Use sort() List Method In Python
- Conclusion
- Frequently Asked Questions
- Take A Quick Python's sort() Quiz!
Table of content:
- What Is A List In Python?
- What Is A String In Python?
- Why Convert Python List To String?
- How To Convert List To String In Python?
- The join() Method To Convert Python List To String
- Convert Python List To String Through Iteration
- Convert Python List To String With List Comprehension
- The map() Function To Convert Python List To String
- Convert Python List to String Using format() Function
- Convert Python List To String Using Recursion
- Enumeration Function To Convert Python List To String
- Convert Python List To String Using Operator Module
- Python Program To Convert String To List
- Conclusion
- Frequently Asked Questions
- Convert Lists To Strings Like A Pro! Take A Quiz
Table of content:
- What Is The Python List append() Method?
- Adding Elements To A Python List Using append()
- Populate A Python List Using append()
- Adding Different Data Types To Python List Using append()
- Adding A List To Python List Using append()
- Nested Lists With Python List append() Method
- Practical Use Cases Of Python List append() Method
- How append() Method Affects List Performance
- Avoiding Common Mistakes When Using Python List append()
- Comparing extend() With append() Python List Method
- Conclusion
- Frequently Asked Questions
- 🧠 Think You Know Python List append()? Take A Quiz!
Table of content:
- What Is A Linked List In Python?
- Types Of Linked Lists In Python
- How To Create A Linked List In Python
- How To Traverse A Linked List In Python & Retrieve Elements
- Inserting Elements In A Linked List In Python
- Deleting Elements From A Linked List In Python
- Update A Node Of Linked List In Python
- Reversing A Linked List In Python
- Calculating Length Of A Linked List In Python
- Comparing Arrays And Linked Lists In Python
- Advantages & Disadvantages Of Linked List In Python
- When To Use Linked Lists Over Other Data Structures
- Practical Applications Of Linked Lists In Python
- Conclusion
- Frequently Asked Questions
- 🔗 Linked List Logic: Can You Ace This Quiz?
Table of content:
- What Is Extend In Python?
- Extend In Python With List
- Extend In Python With String
- Extend In Python With Tuple
- Extend In Python With Set
- Extend In Python With Dictionary
- Other Methods To Extend A List In Python
- Difference Between append() and extend() In Python
- Conclusion
- Frequently Asked Questions
- Think You Know extend() In Python? Prove It!
Table of content:
- What Is Recursion In Python?
- Key Components Of Recursive Functions In Python
- Implementing Recursion In Python
- Recursion Vs. Iteration In Python
- Tail Recursion In Python
- Infinite Recursion In Python
- Advantages Of Recursion In Python
- Disadvantages Of Recursion In Python
- Best Practices For Using Recursion In Python
- Conclusion
- Frequently Asked Questions
- Recursive Thinking In Python: Test Your Skills!
Table of content:
- What Is Type Conversion In Python?
- Types Of Type Conversion In Python
- Implicit Type Conversion In Python
- Explicit Type Conversion In Python
- Functions Used For Explicit Data Type Conversion In Python
- Important Type Conversion Tips In Python
- Benefits Of Type Conversion In Python
- Conclusion
- Frequently Asked Questions
- Think You Know Type Conversion? Take A Quiz!
Table of content:
- What Is Scope In Python?
- Local Scope In Python
- Global Scope In Python
- Nonlocal (Enclosing) Scope In Python
- Built-In Scope In Python
- The LEGB Rule For Python Scope
- Python Scope And Variable Lifetime
- Best Practices For Managing Python Scope
- Conclusion
- Frequently Asked Questions
- Think You Know Python Scope? Test Yourself!
Table of content:
- Understanding The Continue Statement In Python
- How Does Continue Statement Work In Python?
- Python Continue Statement With For Loops
- Python Continue Statement With While Loops
- Python Continue Statement With Nested Loops
- Python Continue With If-Else Statement
- Difference Between Pass and Continue Statement In Python
- Practical Applications Of Continue Statement In Python
- Conclusion
- Frequently Asked Questions
- Python 'continue' Statement Quiz: Can You Ace It?
Table of content:
- What Are Control Statements In Python?
- Types Of Control Statements In Python
- Conditional Control Statements In Python
- Loop Control Statements In Python
- Control Flow Altering Statements In Python
- Exception Handling Control Statements In Python
- Conclusion
- Frequently Asked Questions
- Mastering Control Statements In Python – Take the Quiz!
Table of content:
- Understanding Python Flow Control
- Break Statement In Python
- Examples Of Break Statements In Python
- Continue Statement In Python
- Examples Of Continue Statements In Python
- Using Break and Continue Statements In A Single Program
- Difference Between Break And Continue Statements In Python
- When To Use Which Statement In Python?
- Conclusion
- Frequently Asked Questions
Table of content:
- Difference Between Mutable And Immutable Data Types in Python
- What Is Mutable Data Type In Python?
- Types Of Mutable Data Types In Python
- What Are Immutable Data Types In Python?
- Types Of Immutable Data Types In Python
- Key Similarities Between Mutable And Immutable Data Types In Python
- When To Use Mutable Vs Immutable In Python?
- Conclusion
- Frequently Asked Questions
- Quiz Time: Mutable vs. Immutable In Python!
Table of content:
- What Is A List?
- What Is A Tuple?
- Difference Between List And Tuple In Python (Comparison Table)
- Syntax Difference Between List And Tuple In Python
- Mutability Difference Between List And Tuple In Python
- Other Difference Between List And Tuple In Python
- List Vs. Tuple In Python | Methods
- When To Use Tuples Over Lists?
- Key Similarities Between Tuples And Lists In Python
- Conclusion
- Frequently Asked Questions
- 🧐 Lists vs. Tuples Quiz: Test Your Python Knowledge!
Table of content:
- What Is Inheritance In Python?
- Python Inheritance Syntax
- Parent Class In Python Inheritance
- Child Class In Python Inheritance
- The __init__() Method In Python Inheritance
- The super() Function In Python Inheritance
- Method Overriding In Python Inheritance
- Types Of Inheritance In Python
- Special Functions In Python Inheritance
- Advantages & Disadvantages Of Inheritance In Python
- Common Use Cases For Inheritance In Python
- Best Practices for Implementing Inheritance in Python
- Avoiding Common Pitfalls in Python Inheritance
- Conclusion
- Frequently Asked Questions
- 💡 Python Inheritance Quiz – Are You Ready?
Table of content:
- Introduction to Python
- Downloading & Installing Python, IDLE, Tkinter, NumPy & PyGame
- Creating A New Python Project
- How To Write Python Hello World Program In Python?
- Way To Write The Hello, World! Program In Python
- The Hello, World! Program In Python Using Class
- The Hello, World! Program In Python Using Function
- Print Hello World 5 Times Using A For Loop
- Conclusion
- Frequently Asked Questions
- 👋 Python's 'Hello, World!'—How Well Do You Know It?
Table of content:
- Algorithm Of Python Program To Add To Numbers
- Standard Program To Add Two Numbers In Python
- Python Program To Add Two Numbers With User-defined Input
- The add() Method In Python Program To Add Two Numbers
- Python Program To Add Two Numbers Using Lambda
- Python Program To Add Two Numbers Using Function
- Python Program To Add Two Numbers Using Recursion
- Python Program To Add Two Numbers Using Class
- How To Add Multiple Numbers In Python?
- Add Multiple Numbers In Python With User Input
- Time Complexities Of Python Programs To Add Two Numbers
- Conclusion
- Frequently Asked Questions
- 💡 Quiz Time: Python Addition Basics!
Table of content:
- Swapping in Python
- Swapping Two Variables Using A Temporary Variable
- Swapping Two Variables Using The Comma Operator In Python
- Swapping Two Variables Using The Arithmetic Operators (+,-)
- Swapping Two Variables Using The Arithmetic Operators (*,/)
- Swapping Two Variables Using The XOR(^) Operator
- Swapping Two Variables Using Bitwise Addition and Subtraction
- Swap Variables In A List
- Conclusion
- Frequently Asked Questions (FAQs)
- Quiz To Test Your Variable Swapping Knowledge
Table of content:
- What Is A Quadratic Equation? How To Solve It?
- How To Write A Python Program To Solve Quadratic Equations?
- Python Program To Solve Quadratic Equations Directly Using The Formula
- Python Program To Solve Quadratic Equations Using The Complex Math Module
- Python Program To Solve Quadratic Equations Using Functions
- Python Program To Solve Quadratic Equations & Find Number Of Solutions
- Python Program To Plot Quadratic Functions
- Conclusion
- Frequently Asked Questions
- Quadratic Equations In Python Quiz: Test Your Knowledge!
Table of content:
- What Is Decimal Number System?
- What Is Binary Number System?
- What Is Octal Number System?
- What Is Hexadecimal Number System?
- Python Program to Convert Decimal to Binary, Octal, And Hexadecimal Using Built-In Function
- Python Program To Convert Decimal To Binary Using Recursion
- Python Program To Convert Decimal To Octal Using Recursion
- Python Program To Convert Decimal To Hexadecimal Using Recursion
- Python Program To Convert Decimal To Binary Using While Loop
- Python Program To Convert Decimal To Octal Using While Loop
- Python Program To Convert Decimal To Hexadecimal Using While Loop
- Convert Decimal To Binary, Octal, And Hexadecimal Using String Formatting
- Python Program To Convert Binary, Octal, And Hexadecimal String To A Number
- Complexity Comparison Of Python Programs To Convert Decimal To Binary, Octal, And Hexadecimal
- Conclusion
- Frequently Asked Questions
- 💡 Decimal To Binary, Octal & Hex: Quiz Time!
Table of content:
- What Is A Square Root?
- Python Program To Find The Square Root Of A Number
- The pow() Function In Python Program To Find The Square Root Of Given Number
- Python Program To Find Square Root Using The sqrt() Function
- The cmath Module & Python Program To Find The Square Root Of A Number
- Python Program To Find Square Root Using The Exponent Operator (**)
- Python Program To Find Square Root With A User-Defined Function
- Python Program To Find Square Root Using A Class
- Python Program To Find Square Root Using Binary Search
- Python Program To Find Square Root Using NumPy Module
- Conclusion
- Frequently Asked Questions
- 🤓 Think You Know Square Roots In Python? Take A Quiz!
Table of content:
- Understanding the Logic Behind the Conversion of Kilometers to Miles
- Steps To Write Python Program To Convert Kilometers To Miles
- Python Program To Convert Kilometer To Miles Without Function
- Python Program To Convert Kilometer To Miles Using Function
- Python Program to Convert Kilometer To Miles Using Class
- Tips For Writing Python Program To Convert Kilometer To Miles
- Conclusion
- Frequently Asked Questions
- 🧐 Mastered Kilometer To Mile Conversion? Prove It!
Table of content:
- Why Build A Calculator Program In Python?
- Prerequisites To Writing A Calculator Program In Python
- Approach For Writing A Calculator Program In Python
- Simple Calculator Program In Python
- Calculator Program In Python Using Functions
- Creating GUI Calculator Program In Python Using Tkinter
- Conclusion
- Frequently Asked Questions
- 🧮 Calculator Program In Python Quiz!
Table of content:
- The Calendar Module In Python
- Prerequisites For Writing A Calendar Program In Python
- How To Write And Print A Calendar Program In Python
- Calendar Program In Python To Display A Month
- Calendar Program In Python To Display A Year
- Conclusion
- Frequently Asked Questions
- Calendar Program In Python – Quiz Time!
Table of content:
- What Is The Fibonacci Series?
- Pseudocode Code For Fibonacci Series Program In Python
- Generating Fibonacci Series In Python Using Naive Approach (While Loop)
- Fibonacci Series Program In Python Using The Direct Formula
- How To Generate Fibonacci Series In Python Using Recursion?
- Generating Fibonacci Series In Python With Dynamic Programming
- Fibonacci Series Program In Python Using For Loop
- Generating Fibonacci Series In Python Using If-Else Statement
- Generating Fibonacci Series In Python Using Arrays
- Generating Fibonacci Series In Python Using Cache
- Generating Fibonacci Series In Python Using Backtracking
- Fibonacci Series In Python Using Power Of Matix
- Complexity Analysis For Fibonacci Series Programs In Python
- Applications Of Fibonacci Series In Python & Programming
- Conclusion
- Frequently Asked Questions
- 🤔 Think You Know Fibonacci Series? Take A Quiz!
Table of content:
- Different Ways To Write Random Number Generator Python Programs
- Random Module To Write Random Number Generator Python Programs
- The Numpy Module To Write Random Number Generator Python Programs
- The Secrets Module To Write Random Number Generator Python Programs
- Understanding Randomness and Pseudo-Randomness In Python
- Common Issues and Solutions in Random Number Generation
- Applications of Random Number Generator Python
- Conclusion
- Frequently Asked Questions
- Think You Know Python's Random Module? Prove It!
Table of content:
- What Is A Factorial?
- Algorithm Of Program To Find Factorial Of A Number In Python
- Pseudocode For Factorial Program in Python
- Factorial Program In Python Using For Loop
- Factorial Program In Python Using Recursion
- Factorial Program In Python Using While Loop
- Factorial Program In Python Using If-Else Statement
- The math Module | Factorial Program In Python Using Built-In Factorial() Function
- Python Program to Find Factorial of a Number Using Ternary Operator(One Line Solution)
- Python Program For Factorial Using Prime Factorization Method
- NumPy Module | Factorial Program In Python Using numpy.prod() Function
- Complexity Analysis Of Factorial Programs In Python
- Conclusion
- Frequently Asked Questions
- Think You Know Factorials In Python? Take A Quiz!
Table of content:
- What Is Palindrome In Python?
- Check Palindrome In Python Using While Loop (Iterative Approach)
- Check Palindrome In Python Using For Loop And Character Matching
- Check Palindrome In Python Using The Reverse And Compare Method (Python Slicing)
- Check Palindrome In Python Using The In-built reversed() And join() Methods
- Check Palindrome In Python Using Recursion Method
- Check Palindrome In Python Using Flag
- Check Palindrome In Python Using One Extra Variable
- Check Palindrome In Python By Building Reverse, One Character At A Time
- Complexity Analysis For Palindrome Programs In Python
- Real-World Applications Of Palindrome In Python
- Conclusion
- Frequently Asked Questions
- Think You Know Palindromes? Take A Quiz!
Table of content:
- Best Python Books For Beginners
- Best Python Books For Intermediate Level
- Best Python Books For Experts
- Best Python Books To Learn Algorithms
- Audiobooks of Python
- Best Books To Learn Python And Code Like A Pro
- To Learn Python Libraries
- Books To Provide Extra Edge In Python
- Python Project Ideas - Reference
- Quiz To Rehash Your Knowledge Of Python Books!
Python Program To Solve Quadratic Equations (With Code Examples)

A quadratic equation is a polynomial equation with a maximum degree of two. It takes the form ax² + bx + c = 0, where a, b, and c are constant terms, and x is the unknown variable. Quadratic equations (i.e., equations of degree two) are a fundamental algebraic concept frequently encountered in mathematics, physics, engineering, programming, etc. In this article, we will explore how to write a Python program to solve quadratic equations using various techniques offered by this dynamically typed programming language.
What Is A Quadratic Equation? How To Solve It?
As mentioned at the beginning, a quadratic equation is a polynomial equation with a maximum degree of two. Since this is a second-degree equation, there will be two solutions or roots, which can be found using the quadratic equation formula. That is, for the quadratic equation is ax^2 + bx + c = 0, the formula to get its roots is:
x = [-b±√(b^2-4ac)]/2a
There will be two solutions to the problem of x, according to the plus/minus sign. Here, the expression (b^2 - 4ac) is often referred to as the discriminant (D), which determines the nature of the roots. There are three possibilities for D and subsequent roots, as follows:
- D > 0, roots are real and distinct (unequal)
- D = 0, roots are real and equal (coincident)
- D < 0, roots are imaginary and unequal
Let's take an overview of how to solve the quadratic equation. For example, we want to solve the equation 2x^2 - 5x + 2 = 0. Then-
We will apply the components of the equation, i.e., a = 2, b = -5, c = 2 can be put in the quadratic formula equation, i.e., x = ((-(b) ((b2 - 4ac))) / 2a. The expression can be solved as follows:
x = (-( -5) ± √((-5)^2 - 4 * 2 * 2)) / (2 * 2)
x = (5 ± √(25 - 16)) / 4
x = (5 ± √9) / 4, where (√9 = 3)
We then get two roots, root 1 (plus sign) and root 2 (minus sign), as follows:
x = (5 + 3) / 4 and x = (5 - 3) / 4
x = 8 / 4 and x = 2 / 4
x = 2 and x = 1/2
To solve a quadratic equation using the quadratic formula, you must first compute the expression (discriminant) contained within the square root. Next, you must evaluate both roots by placing positive and negative signs in front of the square root to get the answers for x.
How To Write A Python Program To Solve Quadratic Equations?
Quadratic functions form the basis of complex mathematical topics. Here’s a basic approach to writing a Python program to solve quadratic equations:
Step 1- Get user input for equation coefficients (a, b, c): When solving for user-generated input, the first step is to prompt the user to provide values for the coefficients a, b, and c of the quadratic equation. This is done using the input() function, and any conversions are made using float().
Step 2- Check coefficient for equality with zero: Once we have all the coefficient values, we check if they are equal to zero. This helps determine the nature of the solution, i.e., if a=0, then the equation is linear with one root= -b; if b=0, then the equation will have two imaginary roots; and if c=0, then the equation will have two distinct roots.
Step 3- Calculate discriminant: If all coefficients are positive non-zero numbers, then we calculate the discriminant using the quadratic formula.
# Calculate discriminant
D = b^2 - 4ac
Step 3- Calculate the roots: Use the discriminant to calculate the roots and print them using the print() function.
Now that we know the basic logic behind the Python program to solve quadratic equations let's take a look at a sample Python program that showcases its implementation.
Code Example:
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Output:
Input |
Output |
a = 1, b = -3, c = 2 |
The equation has two distinct real roots: x1 = 2.0 and x2 = 1.0 |
a = 1, b = -4, c = 4 |
The equation has one real root: x = 2.0 |
a = 0, b = 2, c = 5 |
The equation is linear. It has one real root: x = -2.5 |
a = 0, b = 0, c = 5 |
The equation is degenerate. It has no solutions. |
a = 0, b = 0, c = 0 |
The equation is degenerate. It has infinite solutions. |
Code Explanation:
In the sample Python code-
- We begin by importing the math module and then prompt the user to provide values for the three coefficients of the quadratic equation.
- Here, we use the input() function to get the value and the float() function to convert the input values to floating-point numbers before storing them in respective variables.
- Next, we use nested if-else statements to check if any of the coefficient values are zero and determine the nature of the roots thereof.
- In the outermost statement, we check if a is zero using the relational equality operator. If the condition a==0 is false, the corresponding else-block is executed to calculate the discriminant (D) and flow moves to the next line after the if-else statement.
- If the condition is true, we move to the next if-else statement and check if b==0. If the condition is false, then a single root is calculated and printed with a string message.
- If both a and b are zero, we move to the innermost if-block to check if c == 0. The corresponding string message is printed depending on where the condition is true or false.
- In the nested if-else, if a is not equal to zero, we calculate the discriminant and then the roots. For this, we employ an if-elif-else statement.
- Here, if D>0, then we have two distinct real roots. We calculate the roots using the quadratic formula and print the same to the console using the print() function.
- Else-if D==0, then we have one real root which is also calculated and printed to the console.
- Or else, we have complex roots whose complex and real parts are calculated and displayed on the console using the print() function.
- In the output window above, we have compiled a table of different input possibilities and corresponding output for roots.
Also read: Python IDLE | The Ultimate Beginner's Guide With Images & Codes!
Python Program To Solve Quadratic Equations Directly Using The Formula
We can directly use the quadratic formula when writing a Python program to solve quadratic equations. This is a straightforward approach to finding the roots of quadratic expressions. By implementing the quadratic formula within the program, users can input the coefficients of a quadratic equation, and the program computes the solutions directly. This method bypasses the need for manual calculation and reduces the likelihood of errors.
Below is an example Python program that uses this approach to solve the quadratic equation.
Code Example:
IyBQcm9tcHQgdXNlciBmb3IgY29lZmZpY2llbnRzCmEgPSBmbG9hdChpbnB1dCgiRW50ZXIgY29lZmZpY2llbnQgYTogIikpCmIgPSBmbG9hdChpbnB1dCgiRW50ZXIgY29lZmZpY2llbnQgYjogIikpCmMgPSBmbG9hdChpbnB1dCgiRW50ZXIgY29lZmZpY2llbnQgYzogIikpCgojIENhbGN1bGF0ZSBkaXNjcmltaW5hbnQKRCA9IGIqKjIgLSA0KmEqYwojIENhbGN1bGF0ZSBhbmQgZGlzcGxheSByb290cyB1c2luZyB0aGUgcXVhZHJhdGljIGZvcm11bGEKCmlmIGEgPT0gMDoKICBwcmludCgiQ29lZmZpY2llbnQgJ2EnIG11c3Qgbm90IGJlIHplcm8gZm9yIGEgcXVhZHJhdGljIGVxdWF0aW9uLiIpCmVsc2U6CiAgcm9vdDEgPSAoLWIgKyAoRCAqKiAwLjUpKSAvICgyKmEpCiAgcm9vdDIgPSAoLWIgLSAoRCAqKiAwLjUpKSAvICgyKmEpCgppZiBEID4gMDoKICBwcmludCgiVHdvIGRpc3RpbmN0IHJlYWwgcm9vdHM6IikKICBwcmludCgiUm9vdCAxOiIsIHJvb3QxKQogIHByaW50KCJSb290IDI6Iiwgcm9vdDIpCmVsaWYgRCA9PSAwOgogIHByaW50KCJPbmUgcmVhbCByb290IChyZXBlYXRlZCk6IikKICBwcmludCgiUm9vdDoiLCByb290MSkKZWxzZToKICByZWFsUGFydCA9IC1iIC8gKDIqYSkKICBpbWFnaW5hcnlQYXJ0ID0gKGFicyhEKSAqKiAwLjUpIC8gKDIqYSkKICBwcmludCgiVHdvIGNvbXBsZXggcm9vdHM6IikKICBwcmludCgiUm9vdCAxOiIsIHJlYWxQYXJ0LCAiKyIsIGltYWdpbmFyeVBhcnQsICJpIikKICBwcmludCgiUm9vdCAyOiIsIHJlYWxQYXJ0LCAiLSIsIGltYWdpbmFyeVBhcnQsICJpIik=
Output:
Enter coefficient a: 9
Enter coefficient b: 3
Enter coefficient c: 2
Two complex roots:
Root 1: -0.16666666666666666 + 0.44095855184409843 i
Root 2: -0.16666666666666666 - 0.44095855184409843 i
Code Explanation:
In the example Python code-
- We start by prompting the user to enter the coefficients a, b, and c of a quadratic equation. These coefficients are stored in variables with corresponding names.
- Then, we use these values and apply them to the quadratic formula to calculate the discriminant, which is stored in variable D.
- Next, we use an if-else statement to check if the coefficient a (the one multiplying the highest power term) is zero, i.e., condition a==0.
- If the condition is true, the equation technically isn't quadratic, so the code handles this as a special case by printing out a string message to the same effect.
- If the condition is false, the else block is executed to calculate the two roots and the outcomes are stored in variables root1 and root2.
- If coefficient a is not zero, it means we do have solutions for the quadratic equation. The nature of the roots is then determined using the value of variable D.
- For this, we use an if-elif-else statement where-
- If the discriminant is positive, there are two distinct real number solutions, which we calculated above. We print these to the console using a set of print() statements.
- If the discriminant is zero, we have repeated the real number solution, which is printed to the console.
- If the discriminant is negative, the solutions are complex numbers (containing the imaginary unit iota). We use the specific formula to calculate the roots for this case and display them to the console.
Python Program To Solve Quadratic Equations Using The Complex Math Module
We can use the complex math module from the Python library and the functions it contains to solve a quadratic equation with complex roots. By utilizing this module's capabilities, we can write a Python program to solve quadratic equations with negative discriminants, enabling the determination of complex solutions.
This approach ensures robustness in handling quadratic equations with complex coefficients. Here, we can encapsulate the logic for solving the quadratic solving within a function to enhance code organization and reusability. Let's look at a sample Python solution/ program that applies this approach.
Code Example:
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Output:
Enter the coefficient a: 8
Enter the coefficient b: 6
Enter the coefficient c: 4
The solutions are (-0.375-0.5994789404140899j) and (-0.375+0.5994789404140899j)
Explanation:
In the Python code example-
- We first import the cmath library, which helps work with complex numbers. This will be useful for solutions that aren't real numbers.
- Then, we define a function named solve_quadratic that takes three numbers as input, i.e., a (coefficient of the highest power term), b (coefficient of the middle term), and c (constant term).
- This function is designed to find the solutions (roots) of the quadratic equation based on these coefficients.
- It first calculates the discriminant using the basic formula, and the outcome is stored in the variable discriminant.
- Next, it uses the discriminant to calculate the two roots, and the outcomes are stored in variables solution1 and solution2, which the function returns.
- It is important to note that we are assuming that the solutions will be complex, so we use the sqrt() function from the cmath module when calculating the roots.
- After that, we define a block that ensures that the code inside is executed only if the script is run directly, not when it is imported as a module.
- Inside the block, we use the input() function to prompt the user to provide values for the coefficients a, b, and c. The values are converted to floating-point using float() and stored in the respective variables.
- Next, we call the solve_quadratic() function with the user-provided input values as arguments. Note that we are assuming the coefficients provided will lead to complex roots.
- The function returns the solutions, which are stored in solution1 and solution2.
- Finally, the code prints a message that shows both solutions in a formatted way using the print() function.
Python Program To Solve Quadratic Equations Using Functions
We can define a custom function to solve quadratic equations and use it to write a Python program. This approach helpz us write a program that is structured to streamline the process of finding the roots of quadratic expressions. This encapsulation of functionality enhances code readability and reusability as users can call the function with different coefficient values to obtain the solutions for any quadratic equation.
Additionally, incorporating error handling within the function ensures robustness, enabling the program to handle scenarios like division by zero or invalid inputs gracefully. Overall, this approach offers a concise and modular way of writing a Python program to solve quadratic equations, facilitating ease of use and maintenance. Let's dive into a Python program example to understand the implementation of this approach.
Code Example:
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Output:
Enter coefficient a: 7
Enter coefficient b: 4
Enter coefficient c: 8
Two complex roots:
Root: (-0.2857142857142857+1.0301575072754254j)
Root: (-0.2857142857142857-1.0301575072754254j)
Explanation:
In the Python code sample-
- We first import the math module to use its functionalities for calculations, especially square roots.
- Then, we define a function named quadratic_roots that takes three numbers as input, i.e., the coefficients and finds the solutions (roots) of the quadratic equation based on these coefficients.
- Inside the function, we use the quadratic formula to calculate the discriminant which is stored inside the D variable. This will be used to calculate and determine the nature of the solutions/ roots.
- The function also contains an if-statement, which checks if the coefficient a is zero. If a is zero, the equation isn't a true quadratic equation, and the function returns an error message. We do not check for other coefficients because even if they are zero, the roots will still exist.
- If a is not zero, we move to the next part of the function. Here, we use the if-elif-else statement to determine the nature of the roots, calculate them, and print them to the console.
- If the discriminant is positive, there are two distinct real number solutions, which are found using a formula. The function returns these solutions and a message together.
- If the discriminant is zero, there's one repeated real number solution, which is calculated using another formula. The function returns this solution and a message together.
- If the discriminant is negative, we will have complex solutions. The function calculates these roots and returns these complex solutions along with a message.
- After defining the function, we ask the user to enter the coefficient values for a, b, and c.
- Then, we call the quadratic_roots() function with the user-provided coefficients.
- The function does the calculations and returns a result based on the solutions it finds. The outcome is stored in the result variable.
- We then use an if-statement to check the result variable and display an output based on that. here-
- If the result is a group of values (like a list), it means that roots exits. The code separates and prints the message about the solutions followed by each root value on a new line.
- If the result is a string message/ text, it means that there is no viable solution for the quadratic equation or an issue during the calculation (e.g., non-zero 'a' is required). The code prints this message using the print() function.
Python Program To Solve Quadratic Equations & Find Number Of Solutions
Ideally, a quadratic equation of the form ax² + bx + c = 0 must have one or more roots, either real or complex. Calculating the discriminant (D) of a quadratic equation, which is given by the formula D = b**2 - 4*a*c, is necessary to determine the number of solutions and their nature. The discriminant provides details on the roots' nature as follows:
- The equation has two unique real roots if D > 0.
- The equation has one real root (repeated) if D = 0.
- The equation contains two complex roots if D < 0.
Below is an example of a Python program that shows how we can use the value of D to determine the number of roots a quadratic equation has.
Code Example:
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Output:
Enter coefficient a: 5
Enter coefficient b: 7
Enter coefficient c: 2
The quadratic equation has two distinct real solutions.
Explanation:
In the Python example code-
- We first prompt the user to enter the coefficients (a, b, and c) of a quadratic equation. These coefficients are stored in variables for easy use later.
- Next, we calculate a value called the discriminant and store it in the variable D. This value is important because it helps us determine how many solutions the quadratic equation has. The discriminant is calculated using a formula: b**2 - 4*a*c.
- Based on the value of the discriminant, we can figure out the number of solutions. For this, we use an if-elif-else statement where-
- If the discriminant is positive, i.e., D > 0, there are two distinct real number solutions. Then, the variable num_solutions is assigned a value of 2.
- If the discriminant is zero, i.e., D == 0, there's one repeated real number solution (the same value appears twice), and the num_solutions variable is assigned a value of 1.
- If the discriminant is negative, i.e., D < 0, there are no real number solutions, but there might be complex solutions. In this case, the num_solutions variable is assigned a value of 0.
- Next, we analyse the value of the num_solutions variable to determine the number of roots and print a message for the same.
- For this, we use another if-elif-else statement, where if num_solutions == 2, the print() statement inside the if-block displays the message- The quadratic equation has two distinct real solutions, to the console.
- Else-if, num_solutions == 1, the program prints the string message- The quadratic equation has one real solution (repeated).
- Or else, if num_solutions == 0, the program prints- The quadratic equation has no real solutions.
- In the example and output, since the user-provided values are taken to be 5, 7 and 2, there will be two real roots. This means the value of num_solutions variable is 2, and the if-block prints the corresponding message to the console.
Python Program To Plot Quadratic Functions
A Python interactive data visualization tool called Matplotlib uses JavaScript and HTML to render its charts. It is designed to be presented in current web browsers and offers innovative graphics that are elegantly constructed, succinctly written, and interactively powerful.
On a graph, quadratic curves may be drawn using Matplotlib. By providing the right data points and equations, you can often construct many sorts of charts, including quadratic curves, by using methods like plot() and scatter(). In this section, we will take a look at the code to plot the quadratic curve of the equation- x^2 - 3x + 2.
Code Example:
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Output:
This program will plot a quadratic function, and you will need the Matplotlib module to view it.
Graph:
Explanation:
In the example above-
- We first import libraries to work with numbers, i.e., numpy and create visuals, i.e., matplotlib.
- Then, we define a function named quadratic_function() that takes x (independent variable) and coefficients a, b, and c of the quadratic equation. It calculates the y-value for a given x and returns it.
- Next, we set the range for the x-axis using a function that creates an array of x-values between -10 and 10 with 400 points (more points make a smoother curve), i.e., np.linspace(-10, 10, 400).
- We then create three variables a, b, and c to represent the coefficients of the quadratic function we want to visualize, and assign values 1, -3, and 2 to them, respectively.
- After that, we call the quadratic_function() function with the x-values and coefficients to calculate corresponding y-values for each x, resulting in an array of y-values representing the function's output.
- As mentioned in the code comment, we then create a new window for the graph using the figure() function from the matpotlib module and provide a size for it, i.e., figsize.
- Following this, we use a set of functions from the module to specify other details of the graph. We use plt.plot() to draw the line representing the function based on the x and y values we calculated. A label showing the specific equation is also added.
- The plt.axhline() and plt.axvline() specify the details of the lines, i.e., dashed lines are drawn at y=0 (x-axis) and x=0 (y-axis) to help visualize where the function intersects these axes.
- We use functions plt.xlabel(), plt.ylabel(), and plt.title() to name the axes and the graph.
- Then, we use the plt.legend() function to create the legend using the labels and other details and plt.grid() to add a grid for better readability.
- Finally, we use the plt.show() function to display the generated plot on the screen, showing the visualization of the quadratic function.
Conclusion
We have discussed various approaches to writing a Python program to solve quadratic equations. The built-in libraries and mathematical methods contained simplify the process of solving quadratic equations in Python programming. The libraries like NumPy and SymPy, together with the simplicity of coding, make it possible to compute solutions with real and complex roots and visualize the results with accuracy and efficiency. Developers may leverage core mathematical concepts as well as libraries like NumPy and math to build robust programs that swiftly calculate roots and assist efficient problem-solving.
Frequently Asked Questions
Q. What is a quadratic equation, and why is it important?
A quadratic equation is a polynomial equation of the second degree, typically written in the standard form ax² + bx + c = 0, where a, b, and c are coefficients, and x is the variable. It's important because it represents many real-world phenomena and is fundamental in various fields such as physics, engineering, economics, and computer science.
Q. How does the Python program utilize the quadratic formula to solve quadratic equations?
In a Python program to solve quadratic equations, we can define a function, say, solve_quadratic(a, b, c), that takes the coefficients, a, b, and c, as input and returns the solutions using the quadratic formula. It calculates the discriminant, determines the type of roots based on its value, and computes the solutions accordingly, handling both real and complex roots.
Q. How do I handle complex roots in Python when solving quadratic equations?
In Python, handling complex roots when solving quadratic equations involves using the cmath module, which provides support for complex numbers. Here's a simple example demonstrating how to handle complex roots in Python:
Code Example:
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Output:
Root 1: -1.0
Root 2: -1.0
Explanation:
In this code:
- We import the cmath module to handle complex numbers.
- Inside the solve_quadratic function, we first calculate the discriminant.
- If the discriminant is negative, indicating complex roots, we use cmath.sqrt() to compute the square root.
- If the discriminant is non-negative, indicating real roots, we use the regular sqrt() function.
- We return both roots as a tuple.
- Finally, we provide example coefficients and print out the roots.
Q. Can you use Python to solve equations?
Equations, differential equations, linear equations, nonlinear equations, matrix problems, inequalities, Diophantine equations, and integral evaluation can all be solved symbolically using the SymPy Python library.
By fusing mathematics with computer science through the use of mathematical symbols, symbolic computation in Sympy is used to solve mathematical equations.
It works with mathematical formulas and objects. Using conventional mathematical symbols, Sympy evaluates algebraic statements precisely but not roughly.
Q. Can Python solve a quadratic equation?
Yes, Python has a variety of tools and libraries that it can use to solve quadratic equations. SymPy is a popular library for symbolic mathematics, which can be used to solve equations, particularly quadratic equations. Let’s take a look at an example Python program to solve quadratic equations using the SymPy modue.
Code Example:
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Output:
Solutions: [2, 3]
Explanation:
- Using sp, we import the Sympy library.
- Using sp.symbols('x'), we define the symbol x. In our equation, this symbol will stand in for the variable.
- We use the polynomial expression quadratic_eq to define the quadratic equation.
- To resolve the quadratic equation for x, we employ the sp.solve() function.
- A list of solutions is returned by the function.
- The answers are printed out.
Quadratic Equations In Python Quiz: Test Your Knowledge!
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