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

typedef double complex Complex;

Complex f(Complex x){
    return x*x+x+1;
}
Complex df(Complex x){
    return 2*x+1;
}
Complex newton(Complex x){
    return x-f(x)/df(x);
}

int main(){
    Complex x=0.5-I;
    for(int i=1;i<10;i++){
        x=newton(x);
        printf("x_%d = %.15g+i*%.15g\n",i,creal(x),cimag(x));
    }
    return 0;
}