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Propych
@Propych
December 2021
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(Х-2)(12-х) меньше или равно 9
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bertran1872
(x-2)(12-x)<=9
12x-x²-24+2x-9<=0
x²-14x+33>=0
x₁₂=3;11
(x-3)(x-11)=>0
-----+----------3---------_--------11------+------>
При x лежащем в интервале (-беск.;3]U[11;+беск.)
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LouisH
12х-х²-24+2х<9
-х²+14х-24-9<0
х²-14х+33<0
Д= 196-132=64=8²
ответ: [0;8]U[8; +беск.)
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Answers & Comments
12x-x²-24+2x-9<=0
x²-14x+33>=0
x₁₂=3;11
(x-3)(x-11)=>0
-----+----------3---------_--------11------+------>
При x лежащем в интервале (-беск.;3]U[11;+беск.)
-х²+14х-24-9<0
х²-14х+33<0
Д= 196-132=64=8²
ответ: [0;8]U[8; +беск.)