Question

x mũ 2005 = x

 

Answer 1

\(\Leftrightarrow x^{2005}-x=0\)

\(\Leftrightarrow x\left(x^{2004}-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^{2004}-1=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^{2004}=1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

#Toru

Answer 2

`x^(2005)=x`

`=>x^(2005)-x=0`

`=> x(x^2004-1)=0`

\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{2004}-1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x^{2004}=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)