Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } 2 x ^ { 2 } - 3 y ^ { 2 } = 38 \\3 x ^ { 2 } + 5 y ^ { 2 } = 95\end{array}$$

question 105

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } 2 x ^ { 2 } - 3 y ^ { 2 } = 38 \\3 x ^ { 2 } + 5 y ^ { 2 } = 95\end{array}$$

• A) \(\{ ( 5,2 ) , ( 2,5 ) , ( - 5 , - 2 ) , ( - 2 , - 5 ) \}\)
• B) \(\{ ( 5 , - 2 ) , ( 5,2 ) \}\)
• C) \(\{ ( - 5 , - 2 ) , ( - 2 , - 5 ) \}\)
• D) \(\{ ( 5,2 ) , ( - 5,2 ) , ( 5 , - 2 ) , ( - 5 , - 2 ) \}\)

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