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46 changes: 46 additions & 0 deletions NewtonRaphson
Original file line number Diff line number Diff line change
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#include<iostream>
#include<bits/stdc++.h>
using namespace std;

double f(double x);
double fprime(double x);


double f(double x)
{
double a=pow(x,3.0)-x-11.0; //equation whose roots are to be determined
return a;
}

double fprime(double x)
{
double b=3*pow(x,2.0)-1.0;
}

int main()
{
double x,x1,e,fx,fx1;
cout.precision(4);

cout.setf(ios::fixed);
cout<<"Enter the initial guess\n";
cin>>x1;

cout<<"Enter desired accuracy\n"; y
cin>>e;
fx=f(x);
fx1=fprime(x);
cout <<"x{i}"<<" "<<"x{i+1}"<<" "<<"|x{i+1}-x{i}|"<<endl;

do
{
x=x1;
fx=f(x);
fx1=fprime(x); 1
x1=x-(fx/fx1);
cout<<x<<" "<<x1<<" "<<abs(x1-x)<<endl;
}while (fabs(x1-x)>=e);

cout<<"The root of the equation is "<<x1<<endl;
return 0;
}