\(\left(x-2\right)^8=\left(x-2\right)^6\)
\(\Leftrightarrow\left(x-2\right)^8-\left(x-2\right)^6=0\)
\(\Leftrightarrow\left(x-2\right)^6.\left[\left(x-2\right)^2-1\right]=0\)
Trường hợp 1: \(\left(x-2\right)^6=0\)
\(\Leftrightarrow\left(x-2\right)^6=0^6\)
\(\Leftrightarrow x-2=0\)
\(\Leftrightarrow x=2\)
Trường hợp 2: \(\left(x-2\right)^2-1=0\)
\(\Leftrightarrow\left(x-2\right)^2=1^2\)
\(\Leftrightarrow x-2=1\)
\(\Leftrightarrow x=3\)
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