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

Toán Lớp 6: (x trừ 2021) mũ 2021 bằng (x trừ 2021) mũ 2022

Toán Lớp 6: (x trừ 2021) mũ 2021 bằng (x trừ 2021) mũ 2022

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    (x -2021)^2021=(x-2021)^2022
    (x-2021)^2022-(x-2021)^2021=0
    (x-2021)^[2021+1]-(x-2021)^2021=0
    (x-2021)^2021.(x-2021)-(x-2021)^2021.1=0
    (x-2021)^2021.(x-2021-1)=0
    (x-2021)^2021.(x-2022)=0
    =>\(\left[ \begin{array}{l}(x-2021)^{2021}=0\\x-2022=0\end{array} \right.\) 
    Th1:(x-2021)^{2021}=0
    Vì luỹ thừa luôn có cơ số lớn hơn 0
    =>(x-2021)^{2021}=0(vô lý)
    =>x in cancel{o}
    Th2:
    x-2022=0
    x=0+2022
    x=2022
    Vậy x-2022=0 thì x=2022

  2. ( x – 2021 )^2021 = ( x – 2021^2022 )
    ⇔ ( x – 2021 )^2022 – ( x – 2021 )^2021 = 0
    ⇔ ( x – 2021 )^2021 . ( x – 2021 ) – ( x – 2021 )^2021 = 0
    ⇔ ( x – 2021 )^2021 . ( x – 2021 – 1 ) = 0
    ⇔ \(\left[ \begin{array}{l}( x – 2021 )^{2021} = 0\\x – 2021 – 1 = 0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x – 2021 = 0\\x – 2022 = 0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x = 2021\\x = 2022\end{array} \right.\) 
    Vậy ; x ∈ { 2021 ; 2022 } .

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