解不等式(x²-5x)^3->(x-5)^3

问题描述:

解不等式(x²-5x)^3->(x-5)^3

(x²-5x-x+5)[(x²-5x)²+(x-5)(x²-5x)+(x-5)²]>0
∴x²-6x+5>0
x5

(x²-5x)^3>(x-5)^3
所以x²-5x>x-5
x²-6x+5>0
(x-2)(x-3)>0
x3