若3x-1/(x-1)为整数,请你求出所有整数x的值

问题描述:

若3x-1/(x-1)为整数,请你求出所有整数x的值

(3x-1)/(x-1)
=(3x-3+2)/(x-1)
=3+2/(x-1)
要原分式为整数,只需2/(x-1)为整数,
x-1可以为-2,-1,1,2
x=-1或0或2或3