Question 64
Show that for any real numbers $x, y \gt 1$, we have
$$
\frac{x^2}{y - 1} + \frac{y^2}{x - 1} \geq 8.
$$
$$
\frac{x^2}{y - 1} + \frac{y^2}{x - 1} \geq 8.
$$
MathNet 1992 — Part 01 Question 64
Math Olympiad Vault · MathNet 1992 — Part 01
Math Olympiad Vault · MathNet 1992 — Part 01