Question 125
Prove that there is an infinite number of triads of positive integers $(x, y, z)$ such that
$$
x^2 + y^2 + z^2 + xy + yz + zx = 6xyz.
$$
$$
x^2 + y^2 + z^2 + xy + yz + zx = 6xyz.
$$
MathNet 2024-part-02 — 168 problems (EN–VI) Question 125
Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)