Question 47
Solve the system of equations
$$
\begin{cases}
x + y = z, \\
x^2 + y^2 = 4z, \\
x^3 + y^3 = 18z.
\end{cases}
$$
$$
\begin{cases}
x + y = z, \\
x^2 + y^2 = 4z, \\
x^3 + y^3 = 18z.
\end{cases}
$$
MathNet 2025 — Part 02 (100 complete bilingual questions) Question 47
Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)