Python program to solve quadratic equation
Given a quadratic equation the task is solve the equation or find out the roots of the equation. Standard form of quadratic equation is –
ax2 + bx + c where, a, b, and c are coefficient and real numbers and also a ≠ 0. If a is equal to 0 that equation is not valid quadratic equation.
Input :a = 1, b = 2, c = 1 Output : Roots are real and same -1.0 Input :a = 2, b = 2, c = 1 Output : Roots are complex -0.5 + i 2.0 -0.5 - i 2.0 Input :a = 1, b = 10, c = -24 Output : Roots are real and different 2.0 -12.0
Method 1: Using the direct formula
Using the below quadratic formula we can find the root of the quadratic equation.
There are following important cases.
If b*b < 4*a*c, then roots are complex (not real). For example roots of x2 + x + 1, roots are -0.5 + i1.73205 and -0.5 - i1.73205 If b*b == 4*a*c, then roots are real and both roots are same. For example, roots of x2 - 2x + 1 are 1 and 1 If b*b > 4*a*c, then roots are real and different. For example, roots of x2 - 7x - 12 are 3 and 4
real and different roots 2.0 -12.0
Method 2: Using the complex math module
First, we have to calculate the discriminant and then find two solution of quadratic equation using cmath module.
The roots are (-3.414213562373095+0j) (-0.5857864376269049+0j)
Attention geek! Strengthen your foundations with the Python Programming Foundation Course and learn the basics.
To begin with, your interview preparations Enhance your Data Structures concepts with the Python DS Course. And to begin with your Machine Learning Journey, join the Machine Learning – Basic Level Course