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MathNet 2022-part-05 — 197 problems (EN–VI) Question 175

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 175

What smallest value can be attained by the expression

$$
\frac{(x + y + |x - y|)^2}{xy}
$$

for positive $x$, $y$?