Найдите корни уравнения a^3+4a^2+4a __________ = 0 a^2-4. Created by Spiderman13134. algebra-ru

Найдите корни уравнения a^3+4a^2+4a _________

August 2022 1 27 Report

Найдите корни уравнения
a^3+4a^2+4a
__________ = 0
a^2-4

Answers & Comments

egorivashkin2 $\frac{a^2+4a^2+4a}{a^2-4} = 0$
$\frac{5a^2+4a}{(a-2)(a+2)} = 0$
$\frac{5a^2+4a}{(a-2)(a+2)} = 0 , a \neq 2 ,a \neq -2$
$5a^2+4a=0$
$a(5a+4)=0$
$a=0 ; 5a+4=0$
$a= -\frac{4}{5}$
$a_{1} =- \frac{4}{5} ; a_{2} =0$

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