Question

若对于分式1/(x^2+m),不论取何实数,分式1/(x^2+m)总有意义,则m的值为

Answer 1

不论取何实数,分式1/(x^2+m)总有意义时,x^2＋m≠0即可,

∵x^2≥0;∴m＞0时,x^2＋m≠0恒成立!

∴m的值为m＞0