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

Toán Lớp 8: Tìm x `(1/4 – x)^2 – 125% = 1 13/16`

Toán Lớp 8: Tìm x
(1/4 – x)^2 – 125% = 1 13/16

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    (1/4 – x)^2 – 125% = 1 13/16
    ⇔ (1/4 – x)^2=\frac{29}{16}+\frac{125}{100}
    ⇔ (1/4 – x)^2=\frac{29}{16}+\frac{125}{100}
    ⇔ (1/4 – x)^2=49/16
    ⇔ (1/4 – x)^2=(7/4)^2
    ⇔ \(\left[ \begin{array}{l}\dfrac{1}{4}-x=\dfrac{7}{4}\\\dfrac{1}{4}-x=-\dfrac{7}{4}\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=-\dfrac{7}{4}+\dfrac{1}{4}\\x=\dfrac{7}{4}+\dfrac{1}{4}\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=-\dfrac{3}{2}\\x=2\end{array} \right.\) 
    Vậy S={-3/2;2}

  2. Giải đáp:
    x\in{-3/2;2}
    Trình bày lời giải:
    (1/4-x)^2-125%=1 13/16
    =>(1/4-x)^2-125/100=1+13/16
    =>(1/4-x)^2=1+13/16+125/100
    =>(1/4-x)^2=1+13/16+5/4
    =>(1/4-x)^2=(4/4+5/4)+13/16
    =>(1/4-x)^2=9/4+13/16
    =>(1/4-x)^2=36/16+13/16
    =>(1/4-x)^2=(36+13)/16
    =>(1/4-x)^2=49/16
    =>[((1/4-x)^2=(7/4)^2),((1/4-x)^2=(-7/4)^2):}
    =>[(1/4-x=7/4),(1/4-x=-7/4):}
    =>[(x=1/4-7/4),(x=1/4+7/4):}
    =>[(x=-6/4),(x=8/4):}
    =>[(x=-3/2),(x=2):}
    Vậy x\in{-3/2;2}

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