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

Toán Lớp 6: $x^{17}$ = x Tìm x . Mong mn làm dùm

Toán Lớp 6: $x^{17}$ = x
Tìm x . Mong mn làm dùm

Comments ( 2 )

  1. Giải đáp:
    x^17 = x
    Bổ sung x in ZZ
    Ta có : 
    x^17 = x
    -> x^17 – x =0
    -> x.(x^16 -1) = 0
    -> $\left[\begin{matrix} x=0\\ x^{16} – 1 = 0\end{matrix}\right.$
    -> $\left[\begin{matrix} x=0\\ x^{16} = 1\end{matrix}\right.$
    -> $\left[\begin{matrix} x=0\\ x^{16} = (±1)^{16}\end{matrix}\right.$
    -> $\left[\begin{matrix} x=0\\ x = ±1\end{matrix}\right.$
    Vậy x in {0,+-1}
     

  2. x^17 = x
    <=> x^17 – x = 0
    <=> x(x^16 – 1) = 0
    <=> \(\left[ \begin{array}{l}x=0\\x^{16} – 1 = 0\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}x=0\\x^{16} = 1\end{array} \right.\) 
    <=> \(\left[ \begin{array}{l}x=0\\x=±1\end{array} \right.\) 
    Vậy x∈{0;±1}

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