\(\left(x-2\right)^8=\left(x-2\right)^6\)
\(\Leftrightarrow\left(x-2\right)^8-\left(x-2\right)^6=0\)
\(\Leftrightarrow\left(x-2\right)^6\left[\left(x-2\right)^2-1\right]=0\)
\(\Leftrightarrow\left(x-2\right)^6\left(x-3\right)\left(x-1\right)=0\)
\(\Rightarrow x=2;x=3;x=1\)
=>x-2=0 hoặc x-2=1
=>x-2=0=>x=2
=>x-2=1=>x=3
\(\left(x-2\right)^8=\left(x-2\right)^6\)
\(\left(x-2\right)^8-\left(x-2\right)^6=0\)
\(\left(x-2\right)^6.\left[\left(x-2\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(x-2\right)^6=0\\\left(x-2\right)^2-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x-2=0\\\left(x-2\right)^2=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=2\\x-2=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=2\\x=3\end{cases}}}\)
