Question

Tìm x:

x⁵⁰=x

Answer 1

\(x^{50}=x\)

\(\Rightarrow x^{50}-x=0\Leftrightarrow x\left(x^{49}-1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^{49}-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

Answer 2

\(x^{50}=x\Leftrightarrow x^{50}-x=0\Leftrightarrow x\left(x^{49}-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x^{49}-1=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x^{49}=1\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=1\end{matrix}\right.\) vậy \(x=0;x=1\)