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MathNet 2024-part-01 — 168 problems (EN–VI) Question 79

Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)

Question 79

Find all pairs $(x, y)$ of real numbers for which
$$
4y^4 + x^4 + 12y^3 + 5x^2(y^2 + 1) + y^2 + 4 = 12y.
$$