# Python Program to Solve Quadratic Equation

This program computes roots of a quadratic equation when coefficients a, b and c are known.

The standard form of a quadratic equation is:

``````ax2 + bx + c = 0, where
a, b and c are real numbers and
a ? 0``````

## Source Code:

``````# Solve the quadratic equation ax**2 + bx + c = 0

# import complex math module
import cmath

a = 1
b = 5
c = 6

# To take coefficient input from the users
# a = float(input('Enter a: '))
# b = float(input('Enter b: '))
# c = float(input('Enter c: '))

# calculate the discriminant
d = (b**2) - (4*a*c)

# find two solutions
sol1 = (-b-cmath.sqrt(d))/(2*a)
sol2 = (-b+cmath.sqrt(d))/(2*a)

print('The solution are {0} and {1}'.format(sol1,sol2))``````

Output

``````Enter a: 1
Enter b: 5
Enter c: 6
The solutions are (-3+0j) and (-2+0j)``````

We have imported the `cmath` module to perform complex square root. First we calculate the discriminant and then find the two solutions of the quadratic equation.

You can change the value of a, b and c in the above program and test this program.