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MathNet 2017-part-06 — 176 problems (EN–VI) Question 3

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 3

Find all pairs of integers $(x, y)$ such that
$$
y^{3} = 8x^{6} + 2x^{3}y - y^{2}.
$$