Question

Answer 1

\(\sqrt{2x-5}-2\sqrt{3}=0\left(T\right)\)

ĐKXĐ: \(2x-5\ge0\Leftrightarrow x\ge\dfrac{5}{2}\) 

\(\left(T\right)\Leftrightarrow\sqrt{2x-5}=2\sqrt{3}\)

\(\Leftrightarrow2x-5=12\)

\(\Leftrightarrow2x=17\)

\(\Leftrightarrow x=\dfrac{17}{2}\) ( thỏa mãn ĐK )

Vậy \(S=\left\{\dfrac{17}{2}\right\}\)

Answer 2

\(\sqrt{2x-5}-2\sqrt{3}=0\)

\(\Leftrightarrow2x-5=12\)

\(\Leftrightarrow2x=17\)

hay \(x=\dfrac{17}{2}\)