Question 148
Find all pairs $(x, y)$ of positive integers satisfying
$$
\sqrt[3]{7x^2 - 13xy + 7y^2} = |x - y| + 1.
$$
$$
\sqrt[3]{7x^2 - 13xy + 7y^2} = |x - y| + 1.
$$
MathNet 2015-part-06 — 191 problems (EN–VI) Question 148
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)