Question 58
Find all pairs of real numbers $(x, y)$ satisfying the following conditions:
$$x^2 + y^2 + x + y = xy(x + y) - \frac{10}{27}$$
$$|xy| \le \frac{25}{9}.$$
$$x^2 + y^2 + x + y = xy(x + y) - \frac{10}{27}$$
$$|xy| \le \frac{25}{9}.$$
MathNet 2019-part-07 — 184 problems (EN–VI) Question 58
Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)