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MathNet 2018-part-06 — 181 problems (EN–VI) Question 151

Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)

Question 151

Determine all possible real pairs $(x, y)$ that satisfy the following:
$$
4x + 3y = 2x \cdot \left[ \frac{x^2 + y^2}{x^2} \right].
$$