Giải hệ phương trình: \(\left\{ \begin{array}{l}x + y + \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{9}{2}\\xy + \dfrac{1}{{xy}} + \dfrac{x}{y} + \dfrac{y}{x} = 5\end{array} \right..\)
A.\(\left\{ {\left( {1;\,\,2} \right),\,\,\left( {-1;\,\,-\dfrac{1}{2}} \right),\,\,\left( {2;\,\,1} \right),\,\,\left( {-\dfrac{1}{2};\,\,-1} \right)} \right\}\)
B.\(\left\{ {\left( {-1;\,\,-2} \right),\,\,\left( {1;\,\,\dfrac{1}{2}} \right),\,\,\left( {-2;\,\,-1} \right),\,\,\left( {\dfrac{1}{2};\,\,1} \right)} \right\}\)
C.\(\left\{ {\left( {1;\,\,2} \right),\,\,\left( {1;\,\,\dfrac{1}{2}} \right),\,\,\left( {2;\,\,1} \right),\,\,\left( {\dfrac{1}{2};\,\,1} \right)} \right\}\)
D.\(\left\{ {\left( {-1;\,\,-2} \right),\,\,\left( {-1;\,\,-\dfrac{1}{2}} \right),\,\,\left( {-2;\,\,-1} \right),\,\,\left( {-\dfrac{1}{2};\,\,-1} \right)} \right\}\)
