若(5−x)(x−3)2=(x-3)5−x,则x的取值范围是_.

问题描述:

(5−x)(x−3)2
=(x-3)
5−x
,则x的取值范围是______.

(5−x)(x−3)2
=(x-3)
5−x

5−x≥0
x−3≥0

解得:3≤x≤5.
故答案为:3≤x≤5