/* Quadratic Equation - Program to find roots of a quadartic equation */

#include  <stdio.h>
#include  <conio.h>
#include  <math.h>    /* for sqrt() */
#include  <stdlib.h>   /* for abs() */

void main()
{
    float  a, b, c, d, r, r1, r2, real, imag ;
    clrscr() ;
    printf("Enter three co-efficients: ") ;
    scanf("%f %f %f", &a, &b, &c) ;
    d=b*b-4*a*c ;
    if(d==0)
        {
            printf("Root is real \n") ;
            printf("Root is %f \n", -b/(2*a) ) ;
        }
    else if(d>0)
        {
            printf("Roots are real \n") ;
            r=sqrt(d) ;
            r1=(-b+r)/(2*a) ;
            r2=(-b-r)/(2*a) ;
            printf("Roots are %f and %f \n", r1, r2) ;
        }
    else
        {
            printf("Roots are imaginary \n") ;
            r=sqrt(-d);
            real=-b/(2*a) ;
            imag=r/(2*a) ;
            printf("Root1= %f + %f i \n", real, imag) ;
            printf("Root2= %f - %f i \n", real, imag) ;
        }
    getch() ;
}
/*
Output 1:

Enter three co-efficients: 1  2  1
Root is real
Root is -1.000000

Output 2:

Enter three co-efficients: 3  4  1
Roots are real
Roots are -0.333333 and -1.000000


Output 3:

Enter three co-efficients: 2  2  1
Roots are imaginary
Root1= -0.500000 + 0.500000 i
Root2= -0.500000 - 0.500000 i

*/