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

question 376

Multiple Choice

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

• A) \(\{ ( 1,0 ) , ( - 1,0 ) , ( 0,1 ) , ( 0 , - 1 ) \}\)
• B) \(\{ ( 1,0 ) , ( 0,1 ) \}\)
• C) \(\{ ( 1,0 ) \}\)
• D) \(\{ ( 1,0 ) , ( - 1,0 ) \}\)

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