/*
Q1. Write a C program to solve algebraic equations x3-2x-5=0 by using Method of False position.
*/
#include<stdio.h>
#include<math.h>
float f(float);
main()
{
float x0,x1,x2,err=0.00001;
printf("\nEnter the value of x0: ");
scanf("%f",&x0);
printf("\nEnter the value of x1: ");
scanf("%f",&x1);
if(f(x0)*f(x1)>0)
printf("\nRoot does not lies between %f and %f",x0,x1);
else
{
do
{
x2=x0-((f(x0)*(x1-x0))/(f(x1)-f(x0)));
printf("\nx0=%f, f(x0)=%f, x1=%f, f(x1)=%f, x2=%f, f(x2)=%f",x0,f(x0),x1,f(x1),x2,f(x2));
if(f(x0)*f(x2)<0)
{
x1=x2;
}
else
{
x0 = x2;
}
}while(fabs(f(x2))>err);
printf("\n\nApp.root = %f",x2);
}
}
float f(float x)
{
return(x*x*x-2*x-5);
}
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