докажите неравенство: (х-2)² > х(х-2). Created by nastyaazakirova. algebra-ru

докажите неравенство: (х-2)²

nastyaazakirova @nastyaazakirova

August 2021 1 19 Report

докажите неравенство:
(х-2)² > х(х-2)

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Юленька194

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(х-2)² > х(х-2)
(х-2)(х+2)>х(х-2)
Разделим обе части неравенства на х-2
Если х-2<0 x<2
x+2<x
исходное неравенство верно
Если х-2>0 x>2
х+2>х
неравенство верно
ч.т.д.

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nastyaazakirova July 2022 | 0 Ответы

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