помогите плизз x^2-6x+2(x-3)^2=81 [tex]x^2-6x+2(x-3)^2=81[/tex]. Created by МrPechenka. algebra-ru

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МrPechenka @МrPechenka

August 2022 1 5 Report

помогите плизз x^2-6x+2(x-3)^2=81

[tex]x^2-6x+2(x-3)^2=81[/tex]

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Ivanna2013

$x^2-6x+2(x-3)^2=81\\ x^2-6x+2(x^2-6x+9)-81=0\\ x^2-6x+2(x^2-6x)-63=0\\ x^2-6x=a\\ a+2a=63\\ 3a=63\\ a=21\\ x^2-6x-21=0\\ D=36-4*(-21)=36+84=120\\ x_1=\frac{6-2\sqrt{30}}{2}=3-\sqrt{30}\\ x_1=\frac{6+2\sqrt{30}}{2}=3+\sqrt{30}$

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