#include <math.h>
#include <stdio.h>

double f(double x){
    return x*x-2;
}
double df(double x){
    return 2*x;
}
double newton(double x){
    return x-f(x)/df(x);
}

int main(){
    double x=1;
    for(int i=1;i<10;i++){
        x=newton(x);
        printf("x_%d = %.15g\n",i,x);
    }
    return 0;
}