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

Toán Lớp 7: Tìm x biết: |9-7x| =5x-3 |17x -5| – | 17x +5 | =0

Toán Lớp 7: Tìm x biết:
|9-7x| =5x-3
|17x -5| – | 17x +5 | =0

Comments ( 2 )

  1. 1)
    |9-7x| =5x-3
    =>9-7x =5x-3 hoặc 9-7x =-5x+3
    =>-7x-5x=-9-3 hoặc -7x+5x=-9+3
    =>-12x=-12 hoặc -2x=-6
    =>x=1 hoặc x=3
    Vậy x=1;x=3
    2)
    |17x -5| – | 17x +5 | =0
    =>|17x -5|=| 17x +5 |
    =>\(\left[ \begin{array}{l}17x-5=17+5\\17x-5=-(17x+5)\end{array} \right.\)
    TH1:
    17x-5=17x+5
    =>17x-17x=5+5
    =>0x=10 (vô lí)
    TH2:
    17x-5=-17x-5
    =>17x+17x=5-5
    =>34x=0
    =>x=0
    Vậy x=0
     

  2. $\begin{array}{l}a.\quad |9-7x|=5x-3\\\Leftrightarrow \left[ \begin{array}{l}9-7x=5x-3\\9-7x=3-5x\end{array}\right.\\\Leftrightarrow \left[ \begin{array}{l}x=-1\\x=3\end{array}\right.\end{array} \\ \text{Vậy } x\in\{-1;3\}\\b.\quad |17x-5|-|17x+5|=0\\\Leftrightarrow |17x-5|=17x+5\\\Leftrightarrow\left[ \begin{array}{l}17x-5=17x+5\\17x-5=-17x-5\end{array}\right.\\\Leftrightarrow x=0\\ \text{Vậy } x=0$

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