FIND THE ROOTS OF A QUADRATIC EQUATION

The following program finds the roots of a quadratic equation. The salient features of this program are mentioned below :-

1. It tells you whether the roots are real or complex.
2. This program even gives the complex roots.
3. It shows whether the roots are equal or unequal.

Formula used :-

Source code:-

/****************************************************************************/

#include<stdio.h>

#include<conio.h>

int main()

{

float a,b,c,d,root1,root2,x,y;

clrscr();

printf("THIS PROGRAM CALCULATES THE ROOTS OF A QUADRATIC EQUATION\n");

printf("ENTER THE CO-EFFICIENT OF x^2 : ");

scanf("%f",&a);

printf("ENTER THE CO-EFFICIENT OF x : ");

scanf("%f",&b);

printf("ENTER THE CONSTANT TERM : ");

scanf("%f",&c);

d=b*b-4*a*c;

if(d<0)

{

printf("NO REAL ROOTS EXIST...\n");

d=(-d);

//root in the form of x + iy

x=(-b)/(2*a);

y=d/(2*a);

printf("THE ROOTS ARE COMPLEX...\n");

if(y>0)

{

printf("FIRST ROOT = %f +i%f\n",x,y);

printf("SECOND ROOT = %f -i%f",x,y);

}

else

{

y=(-y);

printf("FIRST ROOT = %f +i%f\n",x,y);

printf("SECOND ROOT = %f -i%f",x,y);

}

getch();

return 1;

}

else if(d==0)

printf("BOTH THE ROOTS ARE REAL AND EQUAL...\n");

else

printf("BOTH THE ROOOTS ARE REAL AND UNEQUAL...\n");

root1=((-b)+d)/(2*a);

root2=((-b)-d)/(2*a);

printf("FIRST ROOT = %f\n",root1);

printf("SECOND ROOT = %f",root2);

getch();

return 1;

}

/********************************************************************************/