Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { c } x ^ { 2 } - x y + y ^ { 2 } = 3 \\2 x ^ { 2 } + x y + 2 y ^ { 2 } = 12\end{array}$$

question 2

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { c } x ^ { 2 } - x y + y ^ { 2 } = 3 \\2 x ^ { 2 } + x y + 2 y ^ { 2 } = 12\end{array}$$

• A) \(\{ ( 1,0 ) , ( - 1,0 ) \}\)
• B) \(\{ ( 2,1 ) , ( 1,2 ) \}\)
• C) \(\{ ( 2,0 ) , ( - 2,0 ) , ( 1,0 ) , ( - 1,0 ) \}\)
• D) \(\{ ( 2,1 ) , ( - 2 , - 1 ) , ( 1,2 ) , ( - 1 , - 2 ) \}\)

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