\(\left(x-2\right)^2=5x-4\)
\(\Leftrightarrow x^2-4x+4-5x+4=0\)
\(\Leftrightarrow x^2-9x+8=0\)
\(\Leftrightarrow x^2-8x-x+8=0\)
\(\Leftrightarrow\left(x^2-x\right)-\left(8x-8\right)=0\)
\(\Leftrightarrow x\left(x-1\right)-8\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=8\end{matrix}\right.\)
Vậy ..........................