\(\left(x-5\right)^4=\left(x-5\right)^6\)
\(\left(x-5\right)^6=\left(x-5\right)^4\)
\(\left(x-5\right)^4.\left(x-5\right)^2=\left(x-5\right)^4\)
\(\left(x-5\right)^4.\left[\left(x-5\right)^2-1\right]=0\)
\(\orbr{\begin{cases}\left(x-5\right)^4=0\\\left[\left(x-5\right)^2-1\right]=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-5=0\\x-5=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=5\end{cases}}\)
Vậy x=6 hoặc x=5
\(\orbr{\begin{cases}\\\end{cases}}\)là dấu hoặc nhé