Programming Example
Python program to solve quadratic equation
Python program to solve quadratic equation
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
# 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)) Enter a: 8
Enter b: 5
Enter c: 9
The solution are (-0.3125-1.0135796712641785j) and (-0.3125+1.0135796712641785j)
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.
First read the algorithm, then study the program code line by line. After that, compare the code with the output and finally go through the explanation. This approach helps learners understand both the logic and the implementation properly.
After understanding this example, try to rewrite the same program without looking at the code. Then change some values or logic and run it again. This helps improve confidence and keeps learners engaged on the page for longer.