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

Toán Lớp 7: (x-7)^x+1-(x-7)^x+11=0 giải nhanh giúp mk với ạ, vote 5 sao nha!

Toán Lớp 7: (x-7)^x+1-(x-7)^x+11=0
giải nhanh giúp mk với ạ, vote 5 sao nha!

Comments ( 2 )

  1. Lời giải chi tiết:
    (x-7)^(x+1)-(x-7)^(x+11)=0
    =>(x-7)^(x+1)-(x-7)^(x+1).(x-7)^10=0
    =>(x-7)^(x+1).[1-(x-7)^10]=0
    =>\(\left[ \begin{array}{l}x-7=0\\x-7=1\\x-7=-1\end{array} \right.\)
    =>\(\left[ \begin{array}{l}x=7\\x=8\\x=6\end{array} \right.\)
    Vậy x\in{6;7;8}

  2. (x-7)^(x+1)-(x-7)^(x+11)=0
    <=>(x-7)^(x+1)-(x-7)^(x+1) . (x-7)^10=0
    <=>(x-7)^(x+1)[1-(x-7)^10]=0
    <=>[((x-7)^(x+1)=0),(1-(x-7)^10=0):}
    <=>[(x-7=0),((x-7)^10=1),((x-7)^10=-1):}
    <=>[(x=7),(x-7=1),(x-7=-1):}
    <=>[(x=7),(x=8),(x=6):}
    Vậy x=7;x=8x=6
     

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

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