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

Toán Lớp 7: |x-2/5|+3/4=11/4 -1+|x+4,5|=-6,2 |x-1/5|=-1/2 1/3-|x-1/5|=1/2

Toán Lớp 7: |x-2/5|+3/4=11/4
-1+|x+4,5|=-6,2
|x-1/5|=-1/2
1/3-|x-1/5|=1/2

Comments ( 2 )

  1. $|x-\dfrac{2}{5}|+\dfrac{3}{4}=\dfrac{11}{4}$
    $|x-\dfrac{2}{5}|=2$
    $⇔x-\dfrac{2}{5}=±2$
    $+,x-\dfrac{2}{5}=2$
    $x=\dfrac{12}{5}$
    $+,x-\dfrac{2}{5}=-2$
    $x=\dfrac{-8}{5}$
    Vậy x∈{\frac{12}{5};\frac{-8}{5}}
    ———————
    $-1+|x+4,5|=-6,2$
    $|x+4,5|=-5,2$ (vô lý)
    $⇒$ Vô nghiệm
    ———————
    $|x-\dfrac{1}{5}|=\dfrac{-1}{2}$ (vô lý)
    $⇒$ Vô nghiệm
    ———————
    $\dfrac{1}{3}-|x-\dfrac{1}{5}|=\dfrac{1}{2}$
    $|x-\dfrac{1}{5}|=\dfrac{-1}{6}$ (vô lý)
    $⇒$ Vô nghiệm

  2. |x – 2/5| + 3/4 = 11/4
    ⇒ |x – 2/5| = 2
    ⇒ \(\left[ \begin{array}{l}x – 2/5 = 2\\x – 2/5 = -2\end{array} \right.\) 
    ⇒ \(\left[ \begin{array}{l}x = 12/5\\x = -8/5\end{array} \right.\) 
    Vậy  S = {12/5 ; -8/5}
    -1 + |x + 4,5| = -6,2
    ⇒ |x + 4,5| = -6,2 – (-1) = -5,2
    Vậy  S = {∅}
    |x – 1/5| = -1/2
    Vậy  S = {∅}
    1/3 – |x – 1/5| =1/2
    ⇒ |x – 1/5| = -1/6
    Vậy  S = {∅}

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

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