`#tnvt`
`M=-x^2+2x-3`
`=-x^2+2x-1-2`
`=-(x^2-2x+1)-2`
`=-(x-1)^2-2`
Ta có: `(x-1)^2>=0`
`=>-(x-1)^2-2<=-2`
Dấu `=` xảy ra khi `x-1=0<=>x=1`
Vậy `GTLNN_M=-2` khi `x=1`
`N=4x^2-12x+15`
`=4x^2-2.2x.3+9+6`
`=(2x-3)^2+6`
Ta có: `(2x-3)^2>=0`
`=>(2x-3)^2+6>=6`
Dấu `=` xảy ra khi `2x-3=0<=>x=3/2`
Vậy `GTNNNN=6` khi `x=3/2`