Question 28
Find all real numbers $x$ and $y$ such that
$$
x^{2} + y^{2} = 2 \quad \text{and} \quad \frac{x^{2}}{2 - y} + \frac{y^{2}}{2 - x} = 2.
$$
$$
x^{2} + y^{2} = 2 \quad \text{and} \quad \frac{x^{2}}{2 - y} + \frac{y^{2}}{2 - x} = 2.
$$
MathNet 2022-part-04 — 197 problems (EN–VI) Question 28
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)