Question 32
Find all triples $(x,y,z)$ of real numbers such that
$$
\begin{aligned}
yz+2&=x^2,\\
zx+3&=y^2.
\end{aligned}
$$
$$
\begin{aligned}
yz+2&=x^2,\\
zx+3&=y^2.
\end{aligned}
$$
MathNet 2021 — Part 10 Question 32
Math Olympiad Vault · MathNet 2021 — Part 10