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

Toán Lớp 6: Timx_ biết (x−2)^20 = (x-2)^10

Toán Lớp 6: Timx_ biết (x−2)^20 = (x-2)^10

Comments ( 2 )

  1. (x – 2)^20 = (x – 2)^10
    <=> $\left[\begin{array}{ccc}x – 2 = 1\\x – 2 = 0\\x-2=- 1\end{array}\right.$ <=> $\left[\begin{array}{ccc}x = 3\\x = 2\\x = 1\end{array}\right.$ 

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     $(x-2)^{20}=(x-2)^{10}$
    $=>(x-2)^{20}-(x-2)^{10}=0$
    $=>(x-2)^{10}.[(x-2)^{10 }-1]=0$
    =>\(\left[ \begin{array}{l}(x-2)^{10}=0\\(x-2)^{10}-1=0\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x-2=0\\(x-2)^{10}=1\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x=2\\x-2=1 hoặc x-2=-1\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x=2\\x=3 hoặc x=1\end{array} \right.\) 
    vậy x={2,3,1}

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

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