//  Copyright © 2016 Talal. All rights reserved.
#include <stdio.h>
#include <math.h>   // this library must be included in order to use built in mathmatical functions such as the square root function

int main()
{
    while (1)
    {
    //remind the user of the quadratic equation format
    printf("Quadratic Equation format: aX^2 + bX + c \n");
    
    // declare inputs and outputs and their types
    float a, b, c, determinant, x1, x2, realSolution, imaginarySolution;
    
    // take the inputs from the user, then save them
    printf("Enter the coefficients a, b, c respectively seperated by a comma  \n");
    scanf("%f, %f, %f", &a, &b, &c);
    
    if (a == 0)
    {
        printf("This is not a quadratic equation \n");
        break;
    }
        
    // calculate the determinant to determine the number and the type of the solutions
    determinant = ((b*b) - (4 * a * c));
    printf(" Determinant = %f \n", determinant);
    
    if (determinant == 0)
    {
        // if the determinant is zero, then there will be one real solution
        x1 = x2 = (-2*b)/ (-2*a);
        printf("One real solution and it is %0.1f \n”, x1);
        
    }
        
   else if (determinant > 0)
   {
       x1 = ((-b) + sqrtf(determinant))/(2*a);
       
       x2 = ((-b) - sqrtf(determinant))/(2*a);
       
       printf("Two real solutions and they are %0.1f, and %0.1f \n", x1, x2);

   }
    
    else
    {
        // finally, if the determinant is negative, then the solutions will contain an imaginary part
      
        realSolution = -b /(2*a);
        
        imaginarySolution = sqrtf(-determinant)/(2*a);
        
        printf(" Complex Solutions, and they are %0.1f + %0.1fi and %0.1f - %0.1fi \n", realSolution, imaginarySolution, realSolution, imaginarySolution);
        
    }
    
    }
    
}