`3x^3 -5x^2 +11x-6=0`
`<=>3x^3 -2x^2 -3x^2 + 2x+9x-6=0`
`<=>(3x-2)(x^2 -x+3)=0`
`<=>(3x-2)[(x-1/2)^2+11/4]=0`
Mà `(x-1/2)^2+11/4 > 0`
`=>3x-2=0`
`<=>x=2/3`
Bài 4
3x³ - 5x² + 11x - 6 = 0
⇔ 3x³ - 2x² - 3x² + 2x + 9x - 6 = 0
⇔ (3x³ - 2x²) - (3x² - 2x) + (9x - 6) = 0
⇔ x²(3x - 2) - x(3x - 2) + 3(3x - 2) = 0
⇔ (3x - 2)(x² - x + 3) = 0
⇔ 3x - 2 = 0 (vì x² - x + 3 > 0 với mọi x)
⇔ 3x = 2
⇔ x = 2/3
Vậy S = {2/3}