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22091999
@22091999
August 2021
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(x-3)*(x+1)/(x+2)^2>0
(x-3)*(x+1)/(x+2)^2<0
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valeka08
Это неравенство равносильно такому:
(x-3)*(x+1)*(x+2)^2>0
x-3>0 x+1>0 (x+2)^2>0
x>3 x>-1 x^2+4*x+4>0
D=0
x=-2
(-∞:-2)∪(-2;-1)∪(-1;3)∪(3;+∞)
ответ: (-2;-1)∪(3;+∞)
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Answers & Comments
(x-3)*(x+1)*(x+2)^2>0
x-3>0 x+1>0 (x+2)^2>0
x>3 x>-1 x^2+4*x+4>0
D=0
x=-2
(-∞:-2)∪(-2;-1)∪(-1;3)∪(3;+∞)
ответ: (-2;-1)∪(3;+∞)