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

Toán Lớp 8: Bài 4: (2 điểm) Tìm x biết: 1/ 2/3x(x^2-4)=0 2/ (x+2)^2-(2x-2)(x+2)=0

Toán Lớp 8: Bài 4: (2 điểm) Tìm x biết:
1/ 2/3x(x^2-4)=0 2/ (x+2)^2-(2x-2)(x+2)=0

Comments ( 2 )

  1. #andy
    1)
    \[\begin{array}{l}
    \frac{2}{3}x({x^2} – 4) = 0\\
    \frac{2}{3}x({x^2} – {2^2}) = 0\\
    \frac{2}{3}x(x – 2)(x + 2) = 0\\
     =  > \begin{array}{*{20}{c}}
    {\frac{2}{3}x = 0 \to x = 0}\\
    {x – 2 = 0 \to x = 2}\\
    \begin{array}{l}
    x + 2 = 0 \to x =  – 2\\

    \end{array}
    \end{array}\\
    \\

    \end{array}\]

    2)
    \[\begin{array}{l}
    {(x + 2)^2} – (2x – 2)(x + 2) = 0\\
    (x + 2)[(2x – 2) – 1] = 0\\
    (x + 2)(2x – 2 – 1) = 0\\
     =  > \begin{array}{*{20}{c}}
    {x + 2 = 0 \to x =  – 2}\\
    {2x – 1 = 0 \to x = \frac{1}{2}}
    \end{array}\\

    \end{array}\]

     

  2. Giải đáp:
    $1)x∈ ∅$
    $2)$\(\left[ \begin{array}{l}4-x=0=>x=4\\x+2=0=>x=-2\end{array} \right.\)
    Lời giải và giải thích chi tiết:
    $1)\dfrac{2}{3x(x^{2}-4)}=0$
    $=3x(x^{2}-4)=\dfrac{2}{0}$
    Mà $2$ không chia được cho $0$
    $⇒x∈ ∅$
    $2)(x+2)^{2}-(2x-2)(x+2)=0$ 
    $(x+2)(x+2)-(2x-2)(x+2)=0$ 
    $[(x+2)-(2x-2)](x+2)=0$ 
    $(x+2-2x+2)(x+2)=0$ 
    $(4-x)(x+2)=0$ 
    \(\left[ \begin{array}{l}4-x=0=>x=4\\x+2=0=>x=-2\end{array} \right.\)

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

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