Question 53
Find all integers $a, b$ for which there exist integers $x, y$ such that the following equation holds:
$$
8x^4 + 8y^4 = a^4 + 6a^2b^2 + b^4.
$$
$$
8x^4 + 8y^4 = a^4 + 6a^2b^2 + b^4.
$$
MathNet 2026 — Part 08 Question 53
Math Olympiad Vault · MathNet 2026 — Part 08