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

Toán Lớp 6: jup e vs (x -2)mũ2= ( x -2)mũ5

Toán Lớp 6: jup e vs
(x -2)mũ2= ( x -2)mũ5

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    (x-2)^2 = (x-2)^5
    <=> (x-2)^2-(x-2)^5=0
    <=> (x-2)^2 -(x-2)^2 . (x-2)^3=0
    <=> (x-2)^2 [1-(x-2)^3]=0
    <=> [((x-2)^2=0),(1-(x-2)^3=0):}
    <=> [(x-2=0),((x-2)^3=1):}
    <=> [(x=0+2),((x-2)^3=1^3):}
    <=> [(x=2),(x-2=1):}
    <=> [(x=2),(x=1+2):}
    <=> [(x=2),(x=3):}
    Vậy x \in {2;3}

  2. (x-2)^2=(x-2)^5
    =>(x-2)^2. (x-2)^5=0
    =>(x-2)^2.(x-2)^2. (x-2)^3=0
    =>(x-2)^2.[1-(x-2)^3]=0
    =>\(\left[ \begin{array}{l}(x-2)^2=0\\1-(x-2)^3=0\end{array} \right.\) 
    =>
    \(\left[ \begin{array}{l}x-2=0\\(x-2)^3=1\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}x=2\\x-2=1\end{array} \right.\)
     
    =>\(\left[ \begin{array}{l}x=2\\x=3\end{array} \right.\)
     
    Vậy x in{2;3}
    @Ki ng
     

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

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