Use máy tính ta mò đc nhân tử $2x-y-1=0$:))ĐK:$x\geq \frac{1}{2};y\geq0$(*)
pt(2)$\Leftrightarrow (2x-y-1)^{2}\left[ {1+\frac{2y}{(y+\sqrt{y(2x-1)})^{2}}} \right]=0$
$\Leftrightarrow 2x=y+1$
(1)tt$(3+2y)(2\sqrt{y+2}-3)-(2y+1)(2\sqrt{y}-1)+4y-1=0$
$\Leftrightarrow (4y-1)(\frac{3+2y}{2\sqrt{y+2}+3}-\frac{2y+1}{2\sqrt{y}+1}+1)=0$(3)
Dễ dàng CM$\left[ {...} \right]>0$
$(3)\Leftrightarrow y=\frac{1}{4}\Rightarrow x=\frac{5}{8}(t/m(*))$