1) |8-2x|=2 2) x-2 x-3 1 _____ + _____ = _______ x-3 3x 3x²-9x

1) |8-2x|=2
2) x-2 x-3 1
_____ + _____ = _______
x-3 3x 3x²-9x

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  1. 1)

       |8-2x|=2

    ⇔\(\left[ \begin{array}{l}8-2x=2\\8-2x=-2\end{array} \right.\) 

    ⇔\(\left[ \begin{array}{l}2x=6\\2x=10\end{array} \right.\) 

    ⇔\(\left[ \begin{array}{l}x=3\\x=5\end{array} \right.\) 

    2) Đk: x$\neq$0, x$\neq$ 3

         $\frac{x-2}{x-3}$ + $\frac{x-3}{3x}$ =$\frac{1}{3x²-9x}$ 

    ⇒3x (x-2)+(x-3)²=1

    ⇔3x² -6x+x²-6x+9=1

    ⇔4x²-12x+8=0

    ⇔x²-3x+2=0

    ⇔x²-2x-x+2=0

    ⇔x(x-2)-(x-2)=0

    ⇔(x-2)(x-1)=0

    ⇔\(\left[ \begin{array}{l}x-2=0\\x-1=0\end{array} \right.\) 

    ⇔\(\left[ \begin{array}{l}x=2\\x=1\end{array} \right.\) 

     

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