A, \((x-\sqrt{3})=(1-\sqrt{3})\Leftrightarrow x=(1- \sqrt{3}) +\sqrt{3} \Leftrightarrow x=1\)
B, \(x+4=2\sqrt{2}\Leftrightarrow x = 2 \sqrt{2}-4 \)
C, \(\sqrt{1,69}\left({2\sqrt{x}+\sqrt{\dfrac{81}{121}}}\right)=\dfrac{13}{10}\)
\(\Leftrightarrow 1,3\left({2\sqrt{x}+\dfrac{9}{11} }\right)= 1,3\)
\(\Leftrightarrow 2\sqrt{x}+\dfrac{9}{11} = \dfrac{1,3}{1,3}\)
\(\Leftrightarrow 2 \sqrt{x} = 1-\dfrac{9}{11}\)
\(\Leftrightarrow \sqrt{x} = \dfrac{2}{11.2}\)
\(\Leftrightarrow x=\dfrac{1}{121}\)
D, \(x-5\sqrt{x}=0\Leftrightarrow \sqrt{x}(\sqrt{x}-5)=0\)
\(\Leftrightarrow\left[\begin{array}{l} \sqrt{x}=0 \\ \sqrt{x}=5 \end{array} \right .\)
\(\Leftrightarrow\left[\begin{array}{l} x=0 \\ x=25 \end{array} \right .\)
