若分式2x+3/x+1的值为整数,求整数x的值~
问题描述:
若分式2x+3/x+1的值为整数,求整数x的值~
答
(2x+3)/(x+1)=(2x+2+1)/(x+1)=2+1/(x+1)
若(2x+3)/(x+1)为整数,则1/(x+1)为整数,且x+1≠0
则,x+1=1或者x+1=-1,即x=0,x=-2