\(\Leftrightarrow2\sqrt{x^2-2x-1}-2x\sqrt{x^2-2x-1}=x^2-6x-1\)
\(\Leftrightarrow-\left(2x-2\right)\sqrt{x^2-2x-1}-x^2+6x+1=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x^2+2x+1=0\\x^2-2x-5=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1-\sqrt{6}\\\sqrt{6}+1\end{cases}}\left(tm\right)\)