Question 88
Find all pairs $(x, y)$ of integers which satisfy the equation
$$
(x+y)^{2}\left(x^{2}+y^{2}\right)=2009^{2}.
$$
$$
(x+y)^{2}\left(x^{2}+y^{2}\right)=2009^{2}.
$$
MathNet 2009-part-02 — 175 problems (EN–VI) Question 88
Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)