Х^6=(6х-5)^3 Как такое вообще решить?. Created by Ann576. algebra-ru

Х^6=(6х-5)^3 Как такое вообще решить?...

Ann576 @Ann576

July 2022 1 20 Report

Х^6=(6х-5)^3
Как такое вообще решить?

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Luluput

Verified answer

$x^{6} =(6x-5) ^{3}$
$( x^{2} ) ^{3} =(6x-5) ^{3}$
$x^{2} =6x-5$
$x^{2} -6x+5=0$
$D=(- 6)^{2} -4*1*5=36-20=16$
$x_{1} = \frac{6+4}{2} =5$
$x_{2} = \frac{6-4}{2} =1$

Ответ : 5 ; 1 .

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