How to Calculate Quadratic Equation Roots Using Python

Submitted by razormist on Friday, October 10, 2025 - 22:59.

In this tutorial, we will learn how to program "How to Calculate Quadratic Equation Roots Using Python." The objective is to calculate the roots of a quadratic equation based on the given coefficients. This tutorial will guide you step by step through methods for finding the roots of a quadratic equation. By the end of this tutorial, you will have a solid understanding of how to implement this task effectively in Python, helping you strengthen your problem-solving abilities and improve your coding skills.

This topic is straightforward to understand. Simply follow the instructions provided, and you will complete it with ease. The program will guide you step by step through the process of finding the roots of a quadratic equation. So, let’s dive into the coding process!

Getting Started:

First you will have to download & install the Python IDLE's, here's the link for the Integrated Development And Learning Environment for Python https://www.python.org/downloads/.

Creating Main Function

This is the main function of the application. The following code will display a simple GUI in terminal console that will display program. To do this, simply copy and paste these blocks of code into the IDLE text editor.

while True:
    print("\n================== Calculate Quadratic Equation Roots ==================\n")
 
    print("Equation: ax^2 + bx + c ")
    a=int(input("Enter a: "))
    b=int(input("Enter b: "))
    c=int(input("Enter c: "))
    d=b**2-4*a*c
    d1=d**0.5
    if(d<0):
        print("The roots are imaginary. ")
    else:
        r1=(-b+d1)/2*a
        r2=(-b-d1)/2*a
        print("The first root: ",round(r1,2))
        print("The second root: ",round(r2,2))
 
    opt = input("\nDo you want to try again? (yes/no): ").strip().lower()
    if opt == 'no':
        print("Exiting program...")
        break
    elif opt != 'yes':
        print("Invalid choice. Exiting program...")
        break

This program calculates the roots of a quadratic equation of the form ax² + bx + c = 0 based on user input. It first asks for the coefficients a, b, and c, then computes the discriminant (d = b² - 4ac) to determine the nature of the roots. If the discriminant is negative, the program reports that the roots are imaginary. Otherwise, it calculates the two real roots using the quadratic formula and displays them rounded to two decimal places. After each calculation, the user is given the option to try again or exit the program.

Output:

There you have it we successfully created How to Calculate Quadratic Equation Roots Using Python. I hope that this simple tutorial help you to what you are looking for. For more updates and tutorials just kindly visit this site. Enjoy Coding!

More Tutorials for Python Language

Python Tutorials