若分式x2−9x2−4x+3=0,则x=_;若分式x2−9x2−4x+3有意义,则x应满足的条件是_.
问题描述:
若分式
=0,则x=______;若分式
x2−9
x2−4x+3
有意义,则x应满足的条件是______.
x2−9
x2−4x+3
答
①由题意得:x2-9=0,且x2-4x+3≠0,
解得:x=-3;
②由题意得:x2-4x+3≠0,
(x-1)(x-3)≠0,
解得:x≠1或3;
故答案为:-3;x≠1或3.