∵kx²－x＋1＋k＞0 ∴(x＋1) [kx－(k＋1)]＞0
(1)当（k＋1）/k＞﹣1即k＞0或k＜﹣1/2时, x＜﹣1或x＞（k＋1）/k
(2)当（k＋1）/k＜﹣1即﹣1/2＜k＜0时, x＞﹣1或x＜（k＋1）/k