/* 
 *Roots of a quadratic equation
 * Author: rahule@cse.iitk.ac.in
 *
 * Created on 13 August, 2010, 10:53 PM
 */

#include <stdio.h>
#include <math.h>
int main()
{
    float a,b,c,d,r1,r2;
    printf("\nEnter the coefficients a,b,c :");     //Enter the coefficinet of the equation ax^2+bx+c
    scanf("%f%f%f",&a,&b,&c);
    printf("%f",-a);
    d=b*b-4*a*c;        //finds d=(b^2-4ac)
    if(d==0)        //if b^2-4ac=0 means roots are real and equel
    {
        r1=(-b)/(2*a);
        printf("\nThe roots are real and equel.The root is :%f",r1);        //prints the roots
    }
    else if(d>0)        //if b^2-4ac > 0 means roots are real and distict
    {
        r1=((-b)+sqrt(d))/(2*a);    //finds the roots
        r2=((-b)-sqrt(d))/(2*a);
        printf("\nThe roots are real and distict\nRoot1:%f\nRoot2:%f",r1,r2);       //prints the roots
    }
    else        //b^2-4ac<0 means roots are imaginary
    {
        printf("\nThe roots are imaginary\nRoot1:%f+i%f\nRoot2:%f-i%f",(-b)/(2*a),sqrt(-d)/(2*a),(-b)/(2*a),sqrt(-d)/(2*a));        //calculates and prints the imaginary rooots
    }
}