`(x-1)/8=2/(x-1)`
`=> (x-1).(x-1)= 8.2`
`=>(x-1)^2=16`
`=>(x-1)^2=4^2`
`=>(x-1)^2=+-4`
\(\Rightarrow\left[{}\begin{matrix}x-1=4\\x-1=-4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=4+1\\x=-4+1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\)