#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Purpose: To compute the roots of a quadratic equation

Author: Mary Poppins
Date: 3/2/18 

Program description: 

    This Python program solves the quadratic equation

        a x**2 + b * x + c

    where a, b and c are the coefficients and x is the variable 

    The script computes the two roots and displays them  

Limitations: 
    Cannot deal with complex roots. 
    Cannot deal with a zero 'a' coefficient. 

Data dictionary:
    
    a, b, c:            coefficients of the quadratic equation
    root_discriminant:  square root of the discriminant 
    root1, root2:       roots 
"""


# Import the math module - Need that for square root
import math 

# Specify the coefficients of the quadratic equation
print("Please input three numbers separated by commas")
a, b, c = eval(input("Numbers please: "))

# Compute the square root of the discriminant 
root_discriminant = math.sqrt(b**2-4*a*c)

# Compute the root 
root1 = (-b + root_discriminant)/(2*a)
root2 = (-b - root_discriminant)/(2*a)

# Display the answers 
print('The roots are ',root1,' and ', root2)