Question

1.对于满足 0小于等于p小于等于4 的一切实数,不等式“ x平方加p乘x 大于4x加p减三”恒成立,求x取值范围

Answer 1

把条件移项,再因式分

x^2+px>4x+p-3

=>(x-1)p+x^2-4x+3>0

=>(x-1)p+(x-1)(x-3)>0

=>(x-1)(p-x+3)>0

x-1>0,p-x+3>0

或x-1