(x-1)^5=(x-1)^2 Cần mn giúp ạ :)))

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(x-1)^5=(x-1)^2
Cần mn giúp ạ :)))

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Calantha 4 years 2020-11-21T07:08:09+00:00 1 Answers 56 views 0

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  1. Delwyn
    0
    2020-11-21T07:09:45+00:00
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    Đáp án:

    `=>`\(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\) 

    Giải thích các bước giải:

    `(x-1)^5=(x-1)^2`
    `=>(x-1)^5-(x-1)^2=0`
    `=>(x-1)^2 . (x-1)^3-(x-1)^2 . 1=0`
    `=>(x-1)^2.[(x-1)^3-1]=0`
    `=>`\(\left[ \begin{array}{l}(x-1)^2=0\\(x-1)^3-1=0\end{array} \right.\) 

    `=>`\(\left[ \begin{array}{l}x-1=0\\(x-1)^3=0+1\end{array} \right.\) 
    `=>`\(\left[ \begin{array}{l}x-1=0\\(x-1)^3=1\end{array} \right.\) 
    `=>`\(\left[ \begin{array}{l}x-1=0\\x-1=1\end{array} \right.\) 
    `=>`\(\left[ \begin{array}{l}x=1\\x=2\end{array} \right.\) 

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