Sửa đề
\(\left(x-2\right)^6=\left(x-2\right)^8\)
\(\Rightarrow\left(x-2\right)^6-\left(x-2\right)^8=0\)
\(\Rightarrow\left(x-2\right)^6\left[1-\left(x-2\right)^2\right]=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-2\right)^6=0\\1-\left(x-2\right)^2=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0+2\\\left(x-2\right)^2=\left(\pm1\right)^2\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=2\\x-2=1\\x-2=-1\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=2\\x=3\\x=1\end{cases}}\)
P/s : 2 dòng cuối bn chuyển \(\hept{\begin{cases}\\\\\end{cases}}\)thành \(\orbr{\begin{cases}\\\end{cases}}\)