Question

Tìm x thuộc N sao cho:

\(x-1=\left(x-1\right)^{2017}\)

Answer 1

\(x-1=\left(x-1\right)^{2017}\)

=> \(x-1=\left(x-1\right).\left(x-1\right)^{2016}\)

=> \(\left(x-1\right):\left(x-1\right)=\left(x-1\right)^{2016}\)

=> \(\left(x-1\right)^{2016}=1\)

=> \(\left[{}\begin{matrix}\left(x-1\right)^{2016}=1^{2016}\\\left(x-1\right)^{2016}=-1^{2016}\end{matrix}\right.=>\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\)\(=>\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)

Chúc bn học tốt

Answer 2

x = 1 nữa mà