Question 15
Determine all real solutions of the equations
$$
\begin{align*}
x^2 - y &= z^2 \\
y^2 - z &= x^2 \\
z^2 - x &= y^2.
\end{align*}
$$
$$
\begin{align*}
x^2 - y &= z^2 \\
y^2 - z &= x^2 \\
z^2 - x &= y^2.
\end{align*}
$$
MathNet 2013 Question 15
Math Olympiad Vault · MathNet 2013