Question 48
Determine all pairs $(x, y)$ of positive integers such that for $d = \gcd(x, y)$ the equation
$$
xyd = x + y + d^2
$$
holds.
$$
xyd = x + y + d^2
$$
holds.
MathNet 2023-part-01 — 191 problems (EN–VI) Question 48
Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)