Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x y = 16 \\x ^ { 2 } + y ^ { 2 } = 68\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x y = 16 \\x ^ { 2 } + y ^ { 2 } = 68\end{array}$$

A) $( 2,8 ) , ( 8,2 ) , ( 2 , - 8 ) , ( 8 , - 2 )$
B) $( 2 , - 2 ) , ( - 2 , - 8 ) , ( 8,2 ) , ( - 8 , - 2 )$
C) $( - 2 , - 8 ) , ( - 8 , - 2 ) , ( - 2,8 ) , ( - 8,2 )$
D) $( 2,8 ) , ( - 2 , - 8 ) , ( 2 , - 8 ) , ( - 2,8 )$