Question

[trần thị mai lan]

Tìm x biết

(x-1)^2=(x-1)^4=(2^13)7

Answer 1

[Phạm Tuấn Đạt]

\(\left(x-1\right)^2=\left(x-1\right)^4\)

\(\Rightarrow\left(x-1\right)^4-\left(x-1\right)^2=0\)

\(\Rightarrow\left(x-1\right)^2\left[\left(x-1\right)^2-1\right]=0\)

\(\Rightarrow\orbr{\begin{cases}\left(x-1\right)^2=0\\\left(x-1\right)^2-1=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x-1=0\\\left(x-1\right)^2=1\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=1\\x-1=\orbr{\begin{cases}1\\-1\end{cases}}\end{cases}}\)Vậy x - 1=0 ; x-1=1;x-1=-1

=>x=1;x=2;x=0

Vậy \(x\in\left(0;1;2\right)\)

Answer 2

[trần thị mai lan]

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