Python Program to Solve Roots of Quadratic Equation

Python Program to Solve Roots of Quadratic Equation

Python program to solve quadratic equation (ax2+bx+c=0); In this tutorial, you will learn how to create a program in python to solve roots of a quadratic equation.

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants or numerical coefficients, and x is an unknown variable for example 6x² + 11x - 35 = 0.

The values of x that make the equation true are called roots of the equation Quadratic equations have 2 roots.

The term b2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots.

  1. If the discriminant is greater than 0, the roots are real and different.
  2. If the discriminant is equal to 0, the roots are real and equal.
  3. If the discriminant is less than 0, the roots are complex and different.

Python program to find the roots of an quadratic equation

Use the following steps and write a program to find and display roots of quadratic equation in python:

  • Import the math module.
  • Take inputs from the user.
  • Use this formula X = b**2 – 4 * a * c to solve a quadratic equation.
  • Next use conditional statements in the program.
  • Print result.
import math

a = float(input("Insert coefficient a: "))
b = float(input("Insert coefficient b: "))
c = float(input("Insert coefficient c: "))

discriminant = b**2 - 4 * a * c

if discriminant >= 0:
    x_1=(-b+math.sqrt(discriminant))/2*a
    x_2=(-b-math.sqrt(discriminant))/2*a
else:
    x_1= complex((-b/(2*a)),math.sqrt(-discriminant)/(2*a))
    x_2= complex((-b/(2*a)),-math.sqrt(-discriminant)/(2*a))

if discriminant > 0:
    print("The function has two distinct real roots: {} and {}".format(x_1,x_2))
elif discriminant == 0:
    print("The function has one double root: ", x_1)
else:
    print("The function has two complex (conjugate) roots: {}  and {}".format(x_1,x_2))

Output

Insert coefficient a: 1
Insert coefficient b: 5
Insert coefficient c: 6
The function has two distinct real roots: -2.0 and -3.0

Explanation of the above python program

Import the built-in math module to perform complex square root operation in the program. Then we are taking coefficient inputs from the user.

After that, calculate the discriminant using the b2-4ac formula, based on the result we have an if-else statement to compute the roots for complex conjugates we are using the python complex() method. Finally, Print out the result using string formatting.

Recommended Python Programs

  1. Python Program to Find/Calculate Sum of n Numbers
  2. Python Program to Find/Calculate Average of 3, 4, 5…n numbers
  3. Python Program to Print ASCII Value of Character
  4. Write a Program to Calculate Simple Interest in Python
  5. Python Program to Compute Compound Interest
  6. Leap Year Program in Python
  7. Python Program to Print Star Pattern
  8. Number Pattern Programs in Python
  9. Python Program to Print Even and Odd numbers From 1 to N
  10. Python Abs() Function: For Absolute Value
  11. How to Check Whether a Number is Fibonacci or Not in Python
  12. Python: Program to Find Power of Number
  13. Python Program to Reverse a Numbers
  14. Python Program to Find Smallest/Minimum of n Numbers
  15. Python Program to Find Largest/Maximum of n Numbers
  16. Python Program to Find The Net Bill Amount After Discount
  17. Python Program to Print Numbers From N to 1 and 1 to N
  18. Python Program to Print Numbers Divisible by 3, 5, 7
  19. Python Program to Print Prime Number 1 to N
  20. How to Find Square of Number in Python
  21. Python Program to Calculate Cube of Number
  22. Python Program to Find LCM of Two Numbers
  23. BMI (Body Mass Index) Calculator in Python
  24. Palindrome Program in Python using while loop, Function, etc
  25. Python: Program to Count Total Number of Bits in Number
  26. Python Random Number Generator Code
  27. Python Program to Calculate n-th term of a Fibonacci Series
  28. Zip Zap Zoom Python Program
  29. Python: program to convert Celsius to Fahrenheit
  30. Python Program to Swap Two Numbers
  31. Python Program to Get Standard Deviation
  32. Python Program to Find the Variance
  33. Python Program to Convert Height in cm to Feet and Inches
  34. Python Program to Convert Meters into Yards, Yards into Meters
  35. Python Program to Convert Kilometers to Meters, Miles
  36. Python Program to Find Perfect Number
  37. Python: Program to Find Strong Number
  38. Python Program Create Basic Calculator
  39. Python Program to Check Given Input is Alphabet, Number or Special Character
  40. Python Program to Check IF a Number is Power of Another Number
  41. Python Check Binary Representation of Given Number is Palindrome or Not
  42. Python Program to Draw a Pie Chart
  43. Python Program Input the Radius of Circle and Compute the Area
  44. Python Program to Calculate the Area of a Rectangle
  45. Python Program to Calculate Area of Triangle
  46. Python Program to Find Area and Circumference of Circle using Radius
  47. Python Program that Accepts Marks in 5 Subjects and Outputs Average Marks
  48. Python Program to Print Binary Value of Numbers From 1 to N

AuthorAdmin

My name is Devendra Dode. I am a full-stack developer, entrepreneur, and owner of Tutsmake.com. I like writing tutorials and tips that can help other developers. I share tutorials of PHP, Python, Javascript, JQuery, Laravel, Livewire, Codeigniter, Node JS, Express JS, Vue JS, Angular JS, React Js, MySQL, MongoDB, REST APIs, Windows, Xampp, Linux, Ubuntu, Amazon AWS, Composer, SEO, WordPress, SSL and Bootstrap from a starting stage. As well as demo example.

Leave a Reply

Your email address will not be published. Required fields are marked *