Решите неравенство: [tex]x + (20 / x+6)\geq 6[/tex]. Created by НоВыЙ13. algebra-ru

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August 2022 1 12 Report

Решите неравенство:
[tex]x + (20 / x+6)\geq 6[/tex]

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sedinalana

Verified answer

X+20/(x+6)-6≥0
(x²+6x+20-6x-36)/(x+6)≥0
(x²-16)/(x+6)≥0
(x-4)(x+4)/(x+6)≥0
x=4 x=-4 x=-6
_ + _ +
-----------------(-6)-----------------[-4]--------------------[4]---------------------
x∈(-6;-4] U [4;∞)

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