Question 102
Find all the real numbers $x$ and $y$ so that:
(i) $x \ge 2y^2$;
(ii) $y \ge 2x^2$;
(iii) the number $8(x - y)$ is an integer.
(i) $x \ge 2y^2$;
(ii) $y \ge 2x^2$;
(iii) the number $8(x - y)$ is an integer.
Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)