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

#define EPSILON 0.01

using namespace std;

float getFuncResult(float x) {
	return (0.5 * pow(x, 2) - sin(x));
}

float getDerivative(float x) {
	return (x - cos(x));
}

void main() {
	float x0 = 0.5;
	float xnext;

	for (;;) {
		xnext = x0 - getFuncResult(x0) / getDerivative(x0);
		if (abs(xnext - x0) < EPSILON) break;
		x0 = xnext;
	}
	cout << "Result: " << x0 << endl;
	system("pause");
}