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

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) }