Python program to solve quadratic equation

Python Operators in Python (Article) Operators in Python (Program)

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Quadratic equation:

Quadratic equation is made from a Latin term "quadrates" which means square. It is a special type of equation having the form of:

ax2+bx+c=0

Here, "x" is unknown which you have to find and "a", "b", "c" specifies the numbers such that "a" is not equal to 0. If a = 0 then the equation becomes liner not quadratic anymore.

In the equation, a, b and c are called coefficients.

Let's take an example to solve the quadratic equation 8x2 + 16x + 8 = 0

Program:

# import complex math module  
import cmath  
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: 8
Enter b: 5
Enter c: 9
The solution are (-0.3125-1.0135796712641785j) and (-0.3125+1.0135796712641785j)

Explanation:

In the first line, we have imported the cmath module and we have defined three variables named a, b, and c which takes input from the user. Then, we calculated the discriminant using the formula. Using the cmath.sqrt() method, we have calculated two solutions and printed the result.


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