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 13

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

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