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

Toán Lớp 7: câu 1: | 3x + 4 |= 2|2 x – 9| câu 2: 8x-|4x + 1|=x +2 câu 3: |17x-5|-|17x+5|=0 câu 4: |x-1|=2x-5

Toán Lớp 7: câu 1: | 3x + 4 |= 2|2 x – 9|
câu 2: 8x-|4x + 1|=x +2
câu 3: |17x-5|-|17x+5|=0
câu 4: |x-1|=2x-5

Comments ( 1 )

  1. Giải đáp:
    a,  | 3x + 4 |= 2|2 x – 9|
     Do |3x+4| >= 0
           |2x-9| >= 0 -> 2|2x-9| >= 0
    => 3x+4 = 2(2x-9)
    -> 3x+4 = 4x – 18
    -> 3x – 4x = -4-18
    -> -7x = -22
    -> x = 22/7
    Vậy x=22/7
    b, 8x-|4x + 1|=x +2
    -> |4x+1| = 8x – (x+2)
    -> |4x+1| = 7x – 2
    -> $\left[\begin{matrix} 4x+1=7x-2\\ 4x+1=2-7x\end{matrix}\right.$ 
    -> $\left[\begin{matrix} 4x-7x=-1-2\\ 4x+7x=2-1\end{matrix}\right.$
    -> $\left[\begin{matrix} 3x=3\\11x=1\end{matrix}\right.$
    -> $\left[\begin{matrix} x=1\\x=1/11\end{matrix}\right.$
    c, |17x-5|-|17x+5|=0
    => |17x-5|=|17x+5|
    => $\left[\begin{matrix} 17x-5=17x+5\\17x-5=-17x-5\end{matrix}\right.$
    => $\left[\begin{matrix} 17x-17x=5+5\\17x+17x=-5+5\end{matrix}\right.$
    => $\left[\begin{matrix} 0=10 ( L )\\34x=0\end{matrix}\right.$
    => x = 0
    Vậy x=0
    d, |x-1|=2x-5
    => $\left[\begin{matrix} x-1=2x-5\\x-1=-2x+5\end{matrix}\right.$
    => $\left[\begin{matrix} x-2x=1-5\\x+2x=1+5\end{matrix}\right.$
    => $\left[\begin{matrix} -x=-4\\3x=6\end{matrix}\right.$
    => $\left[\begin{matrix} x=4\\x=2\end{matrix}\right.$
    Vậy x in {4,2} 

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

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