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.

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