`2/(x-2)-\root{2}{y+1}=0`
và `(x-2)-2\root{2}{y+1}+1=0 `
đặt `a=1/(x-2)`
`b=\root{2}{y+1}`
\begin{cases}2a-b=0\\3a-2b+1=0 \end{cases}
⇔\begin{cases}4a-2b=0\\3a-2b+1=0 \end{cases}
`⇔3a-2b+1-4a+2b=0`
`⇔1-a=0`
`⇔a=1`
`⇒1/(x-2)=1`
`⇔x-2=1`
`⇔x=3`
`⇒b=2`
`⇔\root{2}{y+1}=2`
`⇔y+1=4`
`⇔y=3`