Assignments » Conditional Structures » Set 1 »  Solution 9

The roots of the quadratic equation ax ² + bx + c = 0, where a ≠ 0 are given by the following formula:

In this formula, the term b ² - 4ac is called the discriminant.
If b ² - 4ac = 0, then the equation has two equal roots.
If b ² - 4ac > 0, the equation has two real roots.
If b2 - 4ac < 0, the equation has two complex roots.
Write a program that prompts the user to input the value of a (the coefficient of x ² ), b (the coefficient of x), and c (the constant term) and outputs the roots of the quadratic equation.

Source Code

import math

a = int(input('Enter the value of a: '))
b = int(input('Enter the value of b: '))
c = int(input('Enter the value of c: '))

d = b*b - 4*a*c

if d == 0:
    root1 = (-b) / (2 * a)
    root2 = root1
    print('The roots are real and equal: Root1 =', root1, ', Root2 =', root2)

elif d > 0:
    root1 = (-b + math.sqrt(d)) / (2 * a)
    root2 = (-b - math.sqrt(d)) / (2 * a)
    print('The roots are real and distinct: Root1 =', root1, ', Root2 =', root2)

else:
    print('The roots are imaginary.')

Output