IOM 2016, Блиц — Задача 9

Olympiad of Metropolises, Moscow. Blitz Contest, September, 5 · 5 септември 2016 г.

Условие

Positive real numbers $x$ and $y$ are such that $x + y = 1$.

Find the largest integer $C$ such that inequality $4/x + 2/y \ge C$ holds for any such $x$ and $y$.

Решение

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Оригинал в Архива: blitz.pdf