Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x ^ { 2 } + 3 x y + y ^ { 2 } = 4 \\x ^ { 2 } - 3 x y - y ^ { 2 } = 4\end{array}$

question 485

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x ^ { 2 } + 3 x y + y ^ { 2 } = 4 \\x ^ { 2 } - 3 x y - y ^ { 2 } = 4\end{array}$

• A) {(0,2),(0,-2),(2,-6),(-2,6)}
• B) {(2,-6),(-2,6)}
• C) {(2,0),(-2,0)}
• D) {(2,0),(-2,0),(2,-6),(-2,6)}

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