Question

Answer 1

b: Ta có: \(\dfrac{1}{2}\sqrt{x-2}-4\sqrt{\dfrac{4x-8}{9}}+\sqrt{9x-18}-5=0\)

\(\Leftrightarrow\sqrt{x-2}\cdot\dfrac{1}{2}-\sqrt{x-2}\cdot\dfrac{8}{3}+\sqrt{x-2}\cdot3=5\)

\(\Leftrightarrow x-2=36\)

hay x=38

Answer 2

a: Ta có: \(x-2\sqrt{x-3}=3\)

\(\Leftrightarrow x-3-2\sqrt{x-3}+1=1\)

\(\Leftrightarrow\left(\sqrt{x-3}-1\right)^2=1\)

\(\Leftrightarrow\left[{}\begin{matrix}x-3=4\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=3\end{matrix}\right.\)