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

Toán Lớp 8: Tìm x : a) (x – 1)(2x + 3) – x(x – 1) = 0; b) x2 – 4x + 8 = 2x – 1.

Toán Lớp 8: Tìm x :
  a) (x – 1)(2x + 3) – x(x – 1) = 0;             b) x2 – 4x + 8 = 2x – 1.

Comments ( 2 )

  1. a) ( x – 1 ) . ( 2x + 3 ) – x . ( x – 1 ) = 0

    ⇔ ( x – 1 ) . ( 2x + 3 – x ) = 0

    ⇔ ( x – 1 ) . ( x + 3 ) = 0

    ⇔ \(\left[ \begin{array}{l}x – 1 = 0\\x + 3 = 0\end{array} \right.\) 

    ⇔ \(\left[ \begin{array}{l}x = 1\\x = – 3\end{array} \right.\) 

    Vậy , x ∈ { 1 ; – 3 }

    b) x^2 – 4x + 8 = 2x – 1

    ⇔ x^2 – 4x + 8 – 2x + 1 = 0

    ⇔ x^2 – 6x + 9 = 0

    ⇔ x^2 – 2 . 3 . x + 3^2 = 0

    ⇔ ( x – 3 )^2 = 0

    ⇔ x – 3 = 0

    ⇔ x = 3

    Vậy , x = 3 .

  2. a) (x-1)(2x+3)-x(x-1)=0

    ⇔(x-1)(2x+3-x)=0

    ⇔(x-1)(x+3)=0

    $⇔\left[\begin{matrix} x-1=0\\ x+3=0 \end{matrix}\right.$

    $⇔\left[\begin{matrix} x=1\\ x=-3\end{matrix}\right.$

    Vậy x∈{-3;1}

    b) x^2 -4x+8=2x-1

    ⇔x^2 -4x-2x+8+1=0

    ⇔x^2 -6x+9=0

    ⇔(x-3)^2=0

    ⇔x-3=0

    ⇔x=3

    Vậy x∈{3}

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