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

Toán Lớp 7: Tìm x: |(x+2/3).|2x-3/4|| = 2x-3/4

Toán Lớp 7: Tìm x: |(x+2/3).|2x-3/4|| = 2x-3/4

Comments ( 1 )

  1. |x+2/3|.|2x-3/4|=2x-3/4
    =>|x+2/3|≥0
    =>|2x-3/4|≥0
    <=>|x+2/3|.|2x-3/4|≥0
    =>2x-3/4 dương
    <=>|2x-3/4|=2x-3/4
    =>\(\left[ \begin{array}{l}x+\frac{2}{3}=1\\x+\frac{2}{3}=-1\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x=1-\frac{2}{3}\\x=-1-\frac{2}{3}\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x=\frac{1}{3}\\x=\frac{-5}{3}\end{array} \right.\) 
    Vậy x in {-5/3;1/3}

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