[2/(x+1)-x]*[4/(x+1)^2+4x/(x+1)+x^2+5]>0
[2/(x+1)-x]*[(2/(x+1)+x/2)^2+7x^2/4+5]>0
2/(x+1)-x>0
(x-1)(x+2)/(x+1)<0
x<-2,或-1
不等式8/(x+1)³+10/(x+1)-x³-5x＞0的解集为
不等式8/(x+1)³+10/(x+1)-x³-5x＞0的解集为
数学人气：173 ℃时间：2020-06-26 16:30:36
优质解答
[2/(x+1)]^3-x^3+5[2/(x+1)-x]>0
[2/(x+1)-x]*[4/(x+1)^2+4x/(x+1)+x^2+5]>0
[2/(x+1)-x]*[(2/(x+1)+x/2)^2+7x^2/4+5]>0
2/(x+1)-x>0
(x-1)(x+2)/(x+1)<0
x<-2,或-1
[2/(x+1)-x]*[4/(x+1)^2+4x/(x+1)+x^2+5]>0
[2/(x+1)-x]*[(2/(x+1)+x/2)^2+7x^2/4+5]>0
2/(x+1)-x>0
(x-1)(x+2)/(x+1)<0
x<-2,或-1
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