6x^2+5x-6=0

Giup em vs

Đáp án:

$\left[\begin{matrix} x = \dfrac{-3}{2}\\ x=\dfrac{2}{3}\end{matrix}\right.$

Giải thích các bước giải:

`6x^2 + 5x - 6 = 0`

`=> 6x^2 + 4x - 9x - 6 = 0`

`=> 2x( 3x - 2 ) + 3( 3x - 2 ) = 0`

`=> ( 2x + 3 ) ( 3x - 2 ) = 0`

`=>` $\left[\begin{matrix} 2x + 3 = 0\\ 3x - 2 = 0\end{matrix}\right.$

`=>` $\left[\begin{matrix} x = \dfrac{-3}{2}\\ x=\dfrac{2}{3}\end{matrix}\right.$

`#Sad`

Đáp án:

`6x^2 + 5x  - 6 = 0`

`<=> 6x^2 - 4x + 9x  - 6 = 0`

`<=> 2x.(3x - 2) + 3.(3x - 2) = 0`

`<=> (3x - 2).(2x + 3) = 0`

`<=>` \(\left[ \begin{array}{l}3x - 2 = 0\\2x + 3 = 0\end{array} \right.\)

`<=>` \(\left[ \begin{array}{l}x =\dfrac{2}{3}\\x = \dfrac{-3}{2}\end{array} \right.\)

Vậy `S = {2/3; (-3)/2}`

`#dariana`