### Sample C Program To Find The Roots Of A Quadratic Equation.

#include <stdio.h>
#include <conio.h>
#include <math.h>

void main()
{

float a, b, c, d, realp, imgp, r1, r2;
clrscr();

printf(" Enter the 3 numbers\n ");
scanf(" %f %f %f " ,&a, &b, &c);

if ( a == 0 || b == 0 || c == 0 )
{
printf(" Error input only non zero numbers\n ");
}
else
{
d = b * b - 4 * a * c;
if ( d == 0 )
{
printf(" Roots are equal\n ");
r1 = r2 = - b / ( 2 * a );
printf(" Root1 = %f, Root2 = %f ", r1, r2 );
}
else if(d>0)
{
printf( "Roots are real & distinct\n" );
r1 = ( - b + sqrt ( fabs ( d ) ) ) / ( 2 * a );
r2 = ( - b - sqrt ( fabs ( d ) ) ) / ( 2 * a );
printf(" Root1 = %f, Root2 = %f", r1, r2);
}
else
{
printf(" Roots are imaginary\n ");
realp = - b / ( 2 * a );
imgp = sqrt ( fabs ( d ) ) / ( 2 * a );
printf(" Root1 = %f + i%f, Root2 = %f - i%f ",realp, imgp, realp, imgp);
}
}

getch();

}

OUTPUT:

Enter the 3 numbers
1
4
2
Roots are real & distinct
Root1 = - 0.585786 , Root2 = - 3.414214

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