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MathNet 2018-part-07 — 177 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 113

Over all real numbers $x$ and $y$, find the minimum possible value of
$$
(x y)^{2}+(x+7)^{2}+(2 y+7)^{2}
$$