Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x y = 20 \\x ^ { 2 } + y ^ { 2 } = 41\end{array}$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x y = 20 \\x ^ { 2 } + y ^ { 2 } = 41\end{array}$

A) {(4,5) ,(5,4) ,(4,-5) ,(5,-4) }
B) {(4,5) ,(-4,-5) ,(4,-5) ,(-4,5) }
C) {(4,5) ,(-4,-5) ,(5,4) ,(-5,-4) }
D) {(-4,-5) ,(-5,-4) ,(-4,5) ,(-5,4) }