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MathNet 2016-part-05 — 184 problems (EN–VI) Question 56

Math Olympiad Vault · MathNet 2016-part-05 — 184 problems (EN–VI)

Question 56

Find all pairs of coprime integers $x$ and $y$ that solve the equation
$$
4 x^{3}+y^{3}=3 x y^{2}
$$