((x-3)^3(x+1)^2)

July 2022 1 26 Report

Решите неравенство ((2-x)(4x+3))/((x-3)^3(x+1)^2) <= 0

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task/26163457
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Решите неравенство ((2-x)(4x+3)) / ((x-3)³(x+1)²) ≤ 0
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((2-x)(4x+3)) / ((x-3)³(x+1)²) ≤ 0 || * (-1)
4 (x+3/4) (x - 2) / ( (x+1)²(x -3)³ ) ≥ 0 ;
методом интервалов :
- - + - +
----------- ( -1) --------------[-3/4] ////////////////// [2] ------------(3) //////////////

ответ: x∈ [ - 3/4 ; 2] ∪ (3 ; ∞) .

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silonte August 2022 | 0 Ответы

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