Решите неравенство (x^2-6x+8)(x-2)^3/(x+4)^5(5-x)^3 >или=0. Created by vikamiss2012. algebra-ru

(x+4)^5(5-x)^3 >или=0...

vikamiss2012 @vikamiss2012

July 2022 1 8 Report

Решите неравенство
(x^2-6x+8)(x-2)^3/(x+4)^5(5-x)^3 >или=0

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sangers1959

Verified answer

(x²-6x+8)(x-2)³/(x+4)⁵(5-x)³≥0
(x-2)(x-4)(x-2)³/(x+4)⁵(5-x)³≥0
(x-2)⁴(x-4)/(x+4)⁵(5-x)³≥0
-∞____+____-4____-_____4____+_____5____-_____+∞
Ответ: x∈(-∞;-4]U[4;5].

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