Question 38
Solve the system of equations
$$
\begin{cases}
x + y = z \\
x^2 + y^2 = z \\
x^3 + y^3 = z
\end{cases}
$$
$$
\begin{cases}
x + y = z \\
x^2 + y^2 = z \\
x^3 + y^3 = z
\end{cases}
$$
Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)