[tex] \frac{ x^{3}-2 x^{2} -5x+6 }{x-2} \ \textgreater \ 0[/tex]. Created by sadykov67. algebra-ru

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sadykov67 @sadykov67

July 2022 2 1 Report

[tex] \frac{ x^{3}-2 x^{2} -5x+6 }{x-2} \ \textgreater \ 0[/tex]

amin07am

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Отвнт ответ ответ отве т ответ ответ

2 votes Thanks 1

sadykov67 Спасибо

amin07am Удачи)))

sedinalana

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[x²(x-1)-x(x-1)-6(x+1)]/(x-2)>0
(x-1)(x²-x-6)/(x-2)>0
x-1=0⇒x=1
x-2=0⇒x=2
x²-x-6=0
x1+x2=1 U x1*x2=-6⇒x1=-2 U x2=3
+ _ + _ +
-----------------(-2)------------(1)----------(2)-----------------(3)-------------
x∈(-∞;-2) U (1;2) U (3;∞)

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