# Python Program to Solve the Quadratic Equation

In this post, we will discuss how to write a python program to solve the quadratic equation.

In algebra, a quadratic equation is an equation having the form

ax2 + bx + c

where x represents an unknown variable, and ab, and c represent known numbers such that a is not equal to 0.

The numbers ab, and, are the quadratic coefficients of the equation.

### What do you mean by solving the Quadratic Equation?

Solving the Quadratic Equation means that we have to find the roots of the equation.

### How to find the roots of the Quadratic Equation?

We use the Quadratic Formula to find the roots of the equation.

Firstly, we find the discriminant.

d = (b2) - (4*a*c)

And then we find the two roots using the discriminant.

r1 = (-b + sqrt(d)) / (2*a)
r2 = (-b - sqrt(d)) / (2*a)

The nature of roots is decided by the value of discriminant.

If d > 0, the roots will be real;
If d < 0, the roots will be complex;
And if d = 0, the roots will be real and equal.

Let's see the code for this program.

### Code:

```# import complex math module
import cmath
# general quadratic equation is ax**2 + bx + c

a = float(input("Enter the value of a: "))
b = float(input("Enter the value of b: "))
c = float(input("And Enter the value of c: "))

# printing the full equation
print('The Quadratic Equation is ',a,'x**2 + ',b,'x + ',c,sep='')

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

# evaluating first root
r1 = (-b + cmath.sqrt(d)) / (2*a)
r2 = (-b - cmath.sqrt(d)) / (2*a)

# prinring the roots
print("First root:",r1)
print("Second root:",r2)```

### Output:

Enter the value of a: 8
Enter the value of b: 4
And Enter the value of c: 5
The Quadratic Equation is 8.0x**2 + 4.0x + 5.0
First root: (-0.25+0.75j)
Second root: (-0.25-0.75j)

I have used the sqrt() function from the cmath module to find the square root of the discriminant.

I have also used the sep parameter of the print() function so that I can format the quadratic equation properly. If you don't know what is sep parameter, you can check the Print Hello World program.

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### You can learn about many other Python Programs Here.

The following two tabs change content below. #### Amit Rawat

Founder and Developer at SpiderLabWeb
I love to work on new projects and also work on my ideas. My main field of interest is Web Development. 