11.10 LAB: Quadratic formula

Question

Implement the quadratic_formula() function. The function takes 3 arguments, a, b, and c, and computes the two results of the quadratic formula

The quadratic_formula() function returns the tuple (x1, x2). Ex: When a = 1, b = -5, and c = 6, quadratic_formula() returns (3, 2).

Code provided in main.py reads a single input line containing values for a, b, and c, separated by spaces. Each input is converted to a float and passed to the quadratic_formula() function.

Ex: If the input is:

2 -3 -77

the output is:

Solutions to 2x^2 + -3x + -77 = 0

x1 = 7

x2 = -5.50

Answer 1

import math

# Produces the roots of the given quadratic equation.

# Does not consider overflow. Does not solve for imaginary roots.

def quadratic_formula(a, b, c):

# Check if the solution is imaginary

if b**2-4*a*c < 0:

return None, None

x1 = (-b + math.sqrt(b**2-4*a*c))/2.0/a

x2 = (-b - math.sqrt(b**2-4*a*c))/2.0/a

return x1, x2