докадите неравенство (х+у)^2>4ху. Created by Гулима1. algebra-ru

докадите неравенство (х+у)^2>4ху...

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докадите неравенство (х+у)^2>4ху

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LeraVerber $x^{2} +2xy+y^2\ \textgreater \ 4xy$
$x^{2} -2xy+y^2\ \textgreater \ 0$
$(x-y)^2\ \textgreater \ 0$
квадрат любого числа неотрицателен, ч.т.д.

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