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Fortiorisa
@Fortiorisa
July 2022
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Решите неравенство:
4/(1+х)+2/(1-х)<1
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sedinalana
Verified answer
(4-4x+2+2x-1+x²)/(1+x)(1-x)<0
(x²-2x+5)/(1+x)(1-x)<0
x²-2x+5>0 при любом х,т.к.D<0⇒(1+x)(1-x)<0
x=1
x=-1
x∈(-∞;-1) U (1;∞)
2 votes
Thanks 1
Daddy13
Тама же меньше нуля тогда на низу то что берём а ты взял верхние
Fortiorisa
все правильно,спасибо :з
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Answers & Comments
Verified answer
(4-4x+2+2x-1+x²)/(1+x)(1-x)<0(x²-2x+5)/(1+x)(1-x)<0
x²-2x+5>0 при любом х,т.к.D<0⇒(1+x)(1-x)<0
x=1
x=-1
x∈(-∞;-1) U (1;∞)