Python program to solve quadratic equation
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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:
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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