Question 151
Determine all possible real pairs $(x, y)$ that satisfy the following:
$$
4x + 3y = 2x \cdot \left[ \frac{x^2 + y^2}{x^2} \right].
$$
$$
4x + 3y = 2x \cdot \left[ \frac{x^2 + y^2}{x^2} \right].
$$
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)