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//cosx-3x+1
#include<iostream.h>
#include<math.h>
#include<iomanip.h>
void main()
{
double x1,x2,x3,fx1,fx2,fx3,e;
abc:
cout<<"Enter Two Initial Approximation\n";
cin>>x1>>x2;
fx1=cos(x1)-(3*x1)+1;
fx2=cos(x2)-(3*x2)+1;
if(fx1*fx2<0)
{
x3=((x1*fx2)-(x2*fx1))/(fx2-fx1);
fx3=cos(x3)-(3*x3)+1;
}
else
{
cout<<"Re-Enter The Root\n";
goto abc;
}
cout<<"Enter Epsilon\n";
cin>>e;
cout<<"x1"<<setw(15)<<"x2"<<setw(15)<<"fx1"<<setw(15)<<"fx2"<<setw(15)<<"x3"<<setw(15)<<"fx3"<<endl;
cout<<x1<<setw(15)<<x2<<setw(15)<<fx1<<setw(15)<<fx2<<setw(15)<<x3<<setw(15)<<fx3<<endl;
while((x3-x1)>e || (x3-x2)>e)
{
x1=x2;
x2=x3;
fx1=cos(x1)-(3*x1)+1;
fx2=cos(x2)-(3*x2)+1;
x3=((x1*fx2)-(x2*fx1))/(fx2-fx1);
fx3=cos(x3)-(3*x3)+1;
cout<<x1<<setw(15)<<x2<<setw(15)<<fx1<<setw(15)<<fx2<<setw(15)<<x3<<setw(15)<<fx3<<endl;
}
cout<<"Required Root Is:="<<x3;
}