#quadIf.py
#solve a quadratic equation. Three cases.

import math

print("Solve a quadratic equation.  Enter the coefficients of a quadratic equation ")
a = eval(input("Enter a: "))
if a == 0:
    print("a can not be 0. Quitting")
    quit()
    
b = eval(input("Enter b: "))
c = eval(input("Enter c: "))

discriminant = b**2 - 4*a*c

if discriminant > 0:
    # calculate the two possible real value solutions for x.
    x1 = (-b + math.sqrt(discriminant)) / (2 * a)
    x2 = (-b - math.sqrt(discriminant)) / (2 * a)

    print("Two roots (solutions)  x1:", x1, "   x2: ", x2)
elif discriminant == 0:
    #one real solution
    x1 = -b / (2*a)
    print("One solution  x=", x1)
else:
    #no real solutions
    print("No solutions. Discriminant is negative.")

"""
1 1 -2    1 -2
-1 1 2    -1 2
2 2 -2    0.618034  -1.61803
1 1 1     no roots
1 2 1     one root -1
"""