\(x^{20}=x\)
⇒\(x^{20}-x=0\)
⇒\(x\left(x^{19}-1\right)=0\)
⇔\(x^{19}-1=0\) hoặc x=0
⇔x=1 hoặc x=0
\(x^{20}=x\\ \Leftrightarrow x^{20}-x=0\\ \Leftrightarrow x\left(x^{19}-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
\(x^{20}=x\\ \Rightarrow x\in\left\{0;1\right\}\)vì \(x\in N\)