`D= 3x^2 - 5x + 3`
`=3 ( x^2 - 5/3 x + 1)`
`=3 ( x^2 - 2 . x . 5/6 + 25/36 + 11/36)`
`=3 [(x - 5/6)^2 +11/36]`
`=3(x - 5/6)^2 + 3 . 11/36`
`=3(x - 5/6)^2 + 11/12`
Ta có:
`(x - 5/6)^2 ≥ 0`
`⇒3(x - 5/6)^2 ≥ 0`
`⇒3(x - 5/6)^2 + 11/12 ≥ 11/12`
MÀ `11/12 > 0`
`⇒3(x - 5/6)^2 + 11/12 > 0`
Vậy `3(x - 5/6)^2 + 11/12` luôn dương
Hay 3`x^2 - 5x + 3 ` luôn dương