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

Toán Lớp 6: tìm x : ( x – 1 ) mũ 2 . 49 = 7 mũ 4

Toán Lớp 6: tìm x : ( x – 1 ) mũ 2 . 49 = 7 mũ 4

Comments ( 2 )

  1. Giải đáp:
    x\in{-6;8} 
    Lời giải và giải thích chi tiết:
    (x-1)^2 . 49=7^4
    =>(x-1)^2 . 7^2=7^4
    =>(x-1)^2=7^4:7^2
    =>(x-1)^2=7^2
    =>(x-1)^2=(+-7)^2
    =>[(x-1=7),(x-1=-7):}
    =>[(x=7+1),(x=-7+1):}
    =>[(x=8),(x=-6):}
    Vậy x\in{-6;8}

  2. $\text{$(x-1)^{2}$.49=$7^{4}$}$
    $\Leftrightarrow$ $\text{$(x-1)^{2}$.$7^{2}$=$7^{4}$}$
    $\Leftrightarrow$ $\text{$(x-1)^{2}$=$7^{2}$}$
    $\Leftrightarrow$ $\left[\begin{matrix} x-1=7\\ x-1=-7\end{matrix}\right.$
    $\Leftrightarrow$ $\left[\begin{matrix} x=8\\ x=-6\end{matrix}\right.$
     

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

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