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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: tìm X: 4x(x-2)+6(2-x)=0 giúp mik vs

Toán Lớp 8: tìm X:
4x(x-2)+6(2-x)=0
giúp mik vs

Comments ( 2 )

  1.       4x ( x – 2 ) + 6 ( 2 – x ) = 0
    ⇔ 4x ( x – 2 ) + 6 . 2 – 6 . x = 0
    ⇔ 4x ( x – 2 ) – 6 . x + 6 . 2 = 0
    ⇔ 4x ( x – 2 ) – ( 6 . x – 6 . 2 ) = 0
    ⇔ 4x ( x – 2 ) – 6 ( x – 2 ) = 0
    ⇔ ( 4x – 6 ) ( x – 2 ) = 0
    ⇔ ( 2x – 3 ) ( x – 2 ) = 0
    ⇔ $\left[\begin{matrix} 2x – 3 = 0 \\ x – 2 = 0 \end{matrix}\right.$
    ⇔ $\left[\begin{matrix} x = \dfrac{3}{2} \\ x = 2 \end{matrix}\right.$
      Vậy x = $\dfrac{3}{2}$ hoặc x = 2  
     

  2. Giải đáp:
    4x(x-2)+6(2-x)=0
    => 4x(x-2)-6(x-2)=0
    => (x-2)(4x-6)=0
    Trường hợp 1:
    x-2=0
    => x=2
    Trường hợp 2:
    4x-6=0
    => 4x=6
    => x=6:4
    => x=3/2
    Vậy x∈{2; 3/2}

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222-9+11+12:2*14+14 = ? ( )