Determine all real solutions to the system of equations: $$x^2 - y = z^2$$$$y^2 - z = x^2$$$$z^2 - x = y^2$$
Source: 2014 Cuba 2.5
Tags: algebra, system of equations, System
Determine all real solutions to the system of equations: $$x^2 - y = z^2$$$$y^2 - z = x^2$$$$z^2 - x = y^2$$