#include <stdio.h>
#include <math.h> // Used for sqrt()

void main()
{
    float a, b, c;
    float root1, root2, imaginary;
    float discriminant;

    printf("Enter values of a, b, c of quadratic equation (aX^2 + bX + c): ");
    scanf("%f %f %f", &a, &b, &c);

    //Find discriminant of the equation 
    discriminant = (b * b) - (4 * a * c);

    // Find the nature of discriminant 
    if (discriminant > 0)
    {
        root1 = (-b + sqrt(discriminant)) / (2 * a);
        root2 = (-b - sqrt(discriminant)) / (2 * a);

        printf("Two distinct and real roots exists: %.2f and %.2f", root1, root2);
    }
    else if (discriminant == 0)
    {
        root1 = root2 = -b / (2 * a);

        printf("Two equal and real roots exists: %.2f and %.2f", root1, root2);
    }
    else if (discriminant < 0)
    {
        root1 = root2 = -b / (2 * a);
        imaginary = sqrt(-discriminant) / (2 * a);

        printf("Two distinct complex roots exists: %.2f + i%.2f and %.2f - i%.2f",root1, imaginary, root2, imaginary);
    }
}