\(a,ĐK:x\ge\dfrac{1}{2}\\ PT\Leftrightarrow\sqrt{2x-1}=7\Leftrightarrow2x-1=49\Leftrightarrow x=25\left(tm\right)\\ b,ĐK:x\ge3\\ PT\Leftrightarrow4\sqrt{x-3}-8\cdot2\sqrt{x-3}+\dfrac{2}{3}\cdot3\sqrt{x-3}=-20\\ \Leftrightarrow-10\sqrt{x-3}=-20\\ \Leftrightarrow\sqrt{x-3}=2\\ \Leftrightarrow x-3=4\\ \Leftrightarrow x=7\left(tm\right)\)
\(a.ĐKXĐ:x\ge\dfrac{1}{2}\)
\(\sqrt{2x-1}+4=11< =>\sqrt{2x-1}=7< =>2x-1=49< =>x=25\)
\(b.ĐKXĐ:x\ge3\)
\(\sqrt{16x-48}-8\sqrt{4x-12}+\dfrac{2}{3}\sqrt{9x-27}=0< =>4\sqrt{x-3}-16\sqrt{x-3}+2\sqrt{x-3}=0< =>-10\sqrt{x-3}=0< =>\sqrt{x-3}=0< =>x=3\)

