Question 48
Determine the numbers $x$, $y$, with $x$ integer and $y$ rational, for which the equality
$$
5(x^2 + xy + y^2) = 7(x + 2y)
$$
holds.
$$
5(x^2 + xy + y^2) = 7(x + 2y)
$$
holds.
Math Olympiad Vault · MathNet 2019-part-05 — 184 problems (EN–VI)