пожалуйста, решите уравнение, а ? [tex] x^{3}+ x^{2} -8 x-12=0 [/tex]. Created by Aishat99. matematika-ru

tex]...

Aishat99 @Aishat99

August 2022 1 13 Report

пожалуйста, решите уравнение, а ?
[tex] x^{3}+ x^{2} -8 x-12=0 [/tex]

Answers & Comments

dtnth

Verified answer

$x^3+x^2-8x-12=0$
$x^3+2x^2-x^2-2x-6x-12=0$
$(x^3+2x^2)-(x^2+2x)-(6x+12)=0$
$x^2(x+2)-x(x+2)-6(x+2)=0$
$(x^2-x-6)(x+2)=0$
$x+2=0; x_1=-2$
$x^2-x-6=0$
$(x-3)(x+2)=0$
$x+2=0;x=-2$
$x-3=0;x_2=3$
ответ: -2; 3

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Verified answer

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