Câu trả lời:
\(\Leftrightarrow\)x+y+13-2(2\(\sqrt{x}\)+3\(\sqrt{y}\))=0
\(\Leftrightarrow\)x+y+13-4\(\sqrt{x}\)-6\(\sqrt{y}\)=0
\(\Leftrightarrow\)x+y+4+9-4\(\sqrt{x}\)-6\(\sqrt{y}\)=0
\(\Leftrightarrow\)(\(\sqrt{x}\)-2)2+(\(\sqrt{y}\)-3)2
\(\Leftrightarrow\left\{{}\begin{matrix}\left(\sqrt{x}-2\right)^2=0\\\left(\sqrt{y}-3\right)^2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\sqrt{x}-2=0\\\sqrt{y}-3=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\sqrt{x}=2\\\sqrt{y}=3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\y=9\end{matrix}\right.\)