Give All Solutions of the Nonlinear System of Equations, Including $x^{2}-x y+y^{2}=3$

question 453

Multiple Choice

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

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

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