# Bisection Method

Sample C program that uses Bisection Method in mathematics

``````
#include
#include
#include
float function(float x)
{
float f;
f= (x*x*x)-4*x-9;/*Given Function*/
return(f);
}

void design()
{
int m;
printf("\n");
for(m=1; m<80;m++)
printf("*");
}

main()
{
float x0 = 0.0, v = 0.0, x1=0.0, f0, f1, f2, x2, x, e;
int i;
clrscr();
printf("\n\t\t Bisection Method");
printf("\n\t\t ****************");
printf("\n");
printf("Given Function x^3 - 4x - 9 = 0\n");
printf("Enter Accuracy : ");
scanf("%f", &e);
values:
x0 = v;
x1 = x1 +1;
f0 = function(x0);
f1 = function(x1);
v = x1;
if ((f0*f1)>0.0)
goto values;
else
{
design();
printf("\n\t x0\t  x1\t   x2\t  f0\t  f1\t  f2");
design();
do
{
f0 = function(x0);
f1 = function(x1);
x2 = (x0 + x1)/2;
f2 = function(x2);
printf("\n %7.4f\t%7.4f\t%7.4f\t%7.4f\t%7.4f\t%7.4f\t", x0,x1,x2,f0,f1,f2);
if((f0*f2)<0)
x1 = x2;
else
x0=x2;
}
while(fabs((x0-x1)/x1)>=e);
printf("\n");
design();
printf("\n\t\t Root can varges at = %7.4f\t", x2);
design();
}
getch();
}
``````