\(3x^2-7x+4=0.\\ \Leftrightarrow\left(x-\dfrac{4}{3}\right)\left(x-1\right)=0.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}.\\x=1.\end{matrix}\right.\)
`= 3(x^2 - 7/3 x + 4/3) = 0`.
`= 3(x^2 - 2 . 7/6 + 49/36 - 1/36) = 0`
`= 3(x-1/6)^2 = 1/12`.
`=> (x-1/6)^2 = 1/4 = (+-1/2)^2`.
`=> x = -1/3` hoặc `2/3`.
`3x^2-7x+4=0`
`<=>3x^2-3x-4x-4=0`
`<=>3x(x-1)-4(x-1)=0`
`<=>(x-1)(3x-4)=0`
`<=>[(x-1=0),(3x-4=0):}`
`<=>[(x=1),(x=4/3):}`
Vậy ...