# Python Program to Solve Quadratic Equation

Here we will write a program in Python to solve quadratic equation, so first lets understand how to solve a quadratic equation.

The standard form of a quadratic equation is:

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

The value of a, b and c coefficients should be known to solve the quadratic equation, now lets write the program for the same.

## Python Program to Solve Quadratic Equation:

```# 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)```

### Explanation:

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.

We can also change the value of a, b and c to check with various equations.

Comment for any suggestions, concerns.