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

Toán Lớp 6: (x-1)mũ4=(x-1)mũ2 mik đang cần gấp

Toán Lớp 6: (x-1)mũ4=(x-1)mũ2 mik đang cần gấp

Comments ( 2 )

  1. (x-1)^4=(x-1)^2
    => (x-1)^4 – (x-1)^2 = 0
    => (x-1)^2 . ((x-1)^2 – 1) = 0 
    Xét (x-1)^2 = 0
    => x-1 = 0
    => x = 1
    Xét (x-1)^2 – 1 = 0
    => (x-1)^2 = 1
    => (x-1)^2 = 1^2
    Trường hợp 1:
    x-1 = 1
    => x = 2
    Trường hợp 1:
    x-1 = -1
    => x = 0
    Vậy x = 0;1;2
    (Chúc bạn học tốt)
     

  2. (x-1)^4 = (x-1)^2
    => (x-1)^4 – (x-1)^2 =0
    => (x-1)^2 [ (x-1)^2 -1 ] =0
    +) (x-1)^2 =0
    => x-1 =0
    => x= 0+1
    => x=1
    +) (x-1)^2 -1 =0
    => (x-1)^2 = 1
    => \(\left[ \begin{array}{l}(x-1)^2 = 1^2\\(x-1)^2 =(-1)^2\end{array} \right.\) 
    => \(\left[ \begin{array}{l}x-1=1\\x-1=-1\end{array} \right.\) 
    => \(\left[ \begin{array}{l}x=2\\x=0\end{array} \right.\) 
    Vậy x=1 hoặc x=2 hoặc x=0 
     

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