Question

Answer 1

\(\left(a\right):\sqrt{16x}=8\left(ĐK:x\ge0\right)\\ < =>4\sqrt{x}=8\\ < =>\sqrt{x}=2\\ < =>x=4\left(TMDK\right)\)

\(\left(b\right):\sqrt{4x}=\sqrt{5}\left(ĐK:x\ge0\right)\\ < =>4x=5\\ < =>x=\dfrac{5}{4}\left(TMDK\right)\)

\(\left(c\right):\sqrt{9\left(x-1\right)}=21\left(ĐK:x\ge1\right)\\ < =>3\sqrt{x-1}=21\\ < =>\sqrt{x-1}=7\\ < =>x-1=49\\ < =>x=50\left(TMDK\right)\)

\(\left(d\right):\sqrt{4\left(1-x\right)^2}-6=0\left(ĐK:x\in R\right)\\ < =>2\left|1-x\right|=6\\ < =>\left|1-x\right|=3\\ =>\left[{}\begin{matrix}1-x=3\\1-x=-3\end{matrix}\right.< =>\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\left(TMDK\right)\)