\(\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{2xy}=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{2y}{2xy}+\dfrac{2x}{2xy}+\dfrac{1}{2xy}=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{2x+2y+1}{2xy}=\dfrac{1}{2}\)
\(\Leftrightarrow\dfrac{2x+2y+1}{xy}=1\Leftrightarrow2x+2y+1-xy=0\)
\(\Leftrightarrow2x+2y+1-xy-5=-5\)
\(\Leftrightarrow2x+2y-4-xy=-5\)
\(\Rightarrow x\left(2-y\right)-2\left(2-y\right)=-5\)
\(\Rightarrow\left(x-2\right)\left(2-y\right)=-5\)
Xét ước và tìm ước tự nhiên