`1.`
`-x^2+x-1`
`=-(x^2-x+1)`
`=-(x^2-2.x.(1)/2+1/4+3/4)`
`=-[(x-1/2)^2+3/4]`
Ta có: `[(x-1/2)^2+3/4]>0 AA x`
`=>-[(x-1/2)^2+3/4]<0 AA x`
Vậy `-x^2+x-1` luôn âm với mọi `x`
`2.`
`-x^2+3x-3`
`=-(x^2-3x+3)`
`=-(x^2-2.x.(3)/2+4/9+3/4)`
`=-[(x-3/2)^2+3/4]`
Ta có: `[(x-3/2)^2+3/4]>0 AA x`
`=>-[(x-3/2)^2+3/4]<0 AA x`
Vậy `-x^2+3x-3` luôn âm với mọi `x`
Xin hay nhất cho nhóm ạ