2) \(\sqrt{4x}=\sqrt{5}\left(đk:x\ge0\right)\)
\(\Leftrightarrow4x=5\Leftrightarrow x=\dfrac{5}{4}\left(tm\right)\)
4) \(\sqrt{4\left(1-x\right)^2}-6=0\)
\(\Leftrightarrow2\left|1-x\right|=6\)
\(\Leftrightarrow\left|1-x\right|=3\)
\(\Leftrightarrow\left[{}\begin{matrix}1-x=3\\1-x=-3\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)
6) \(\Leftrightarrow2x-4=\sqrt{x-2}\left(đk:x\ge2\right)\)
\(\Leftrightarrow4x^2-16x+16=x-2\)
\(\Leftrightarrow4x^2-17x+18=0\)
\(\Leftrightarrow\left(x-2\right)\left(4x-9\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\left(tm\right)\\x=\dfrac{9}{4}\left(tm\right)\end{matrix}\right.\)
