Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } x y = 32 \\x ^ { 2 } + y ^ { 2 } = 80\end{array}$$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } x y = 32 \\x ^ { 2 } + y ^ { 2 } = 80\end{array}$$

A) $\{ ( 8,4 ) , ( - 8 , - 4 ) , ( 4,8 ) , ( - 4 , - 8 ) \}$
B) $\{ ( 8,4 ) , ( - 8 , - 4 ) , ( 8 , - 4 ) , ( - 8,4 ) \}$
C) $\{ ( - 8 , - 4 ) , ( - 4 , - 8 ) , ( - 8,4 ) , ( - 4,8 ) \}$
D) $\{ ( 8,4 ) , ( 4,8 ) , ( 8 , - 4 ) , ( 4 , - 8 ) \}$