Решите урвнение: [tex]x^{3}+2x^{2}-9x-18=0[/tex]. Created by daryana999. algebra-ru

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daryana999 @daryana999

July 2022 1 17 Report

Решите урвнение: [tex]x^{3}+2x^{2}-9x-18=0[/tex]

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dtnth

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$x^3+2x^2-9x-18=0;\\\\(x^3+2x^2)-(9x+18)=0;\\\\x^2(x+2)-9(x+2)=0;\\\\(x^2-9)(x+2)=0;\\\\(x^2-3^2)(x+2)=0;\\\\(x-3)(x+3)(x+2)=0;\\\\x-3=0;x_1=3;\\\\x+3=0;x_2=-3;\\\\x+2=0;x_3=-2$

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