Question 43
Find all triples of natural numbers $(x, y, z)$ satisfying the system of equations
$$
\begin{cases} x + y - z = 23, \\ x^2 + y^2 - z^2 = 23. \end{cases}
$$
$$
\begin{cases} x + y - z = 23, \\ x^2 + y^2 - z^2 = 23. \end{cases}
$$
MathNet 2024-part-02 — 168 problems (EN–VI) Question 43
Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)