Question

Answer 1

\(\sqrt{2x-4-2\sqrt{2x-5}}-\sqrt{2x+4+6\sqrt{2x-5}}=0\left(x\ge\dfrac{5}{2}\right)\\ \Leftrightarrow\sqrt{\left(\sqrt{2x-5}-1\right)^2}-\sqrt{\left(\sqrt{2x-5}+3\right)^2}=0\\ \Leftrightarrow\sqrt{2x-5}-1-\sqrt{2x-5}-3=0\\ \Leftrightarrow-4=0\Leftrightarrow x\in\varnothing\)