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

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

double df(double x){
    return 2*x;
}

double g(double x){
    return x-f(x)/df(x);
}

int main(){
    double x=1;
    int i;
    for(i=0;i<10;i++){
        double xold=x;
        x=g(x);
        if(fabs(xold-x)<1.0e-12) break;
        printf("%30.20e\n",x);
    }
    return 0;
}