Python program to solve quadratic equations

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When the coefficients a, b, and c are known, this program will calculate the roots of the quadratic equation.

To understand this example, you should understand the followingPython programmingTopic:

• Python data types

• Python input, output and import

• Python operators

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

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

We have imported the cmath module for complex square roots. First, we calculate the discriminant, and then find the two solutions of the quadratic equation.

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

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