Question 134
Find the smallest value of
$$
xy + yz + zx + \frac{1}{x} + \frac{2}{y} + \frac{5}{z},
$$
where $x, y, z$ are positive real numbers.
$$
xy + yz + zx + \frac{1}{x} + \frac{2}{y} + \frac{5}{z},
$$
where $x, y, z$ are positive real numbers.
MathNet 2022-part-05 — 197 problems (EN–VI) Question 134
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)