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

question 452

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) \(\{ ( 8,4 ) , ( 4,8 ) , ( 8 , - 4 ) , ( 4 , - 8 ) \}\)

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