[75] - Algebraic Systems for and from Math Contests

Nα λυθεί το σύστημα: \[ \boxed{ \begin{array}\\ x + y + z = 0 \\ x^3 + y^3 + z^3 = 0 \\ x^{1999} - y^{1999} + z^{1999} = 2^{2000} \end{array} } \]