Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } 2 x ^ { 2 } + x y - y ^ { 2 } = 3 \\x ^ { 2 } + 2 x y + y ^ { 2 } = 3\end{array}$$

question 99

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } 2 x ^ { 2 } + x y - y ^ { 2 } = 3 \\x ^ { 2 } + 2 x y + y ^ { 2 } = 3\end{array}$$

• A) \(\left( \frac { 2 \sqrt { 3 } } { 3 } , - \frac { \sqrt { 3 } } { 3 } \right) , \left( - \frac { 2 \sqrt { 3 } } { 3 } , \frac { \sqrt { 3 } } { 3 } \right)\)
• B) \(\left( \frac { - 2 } { 3 } , - \frac { 1 } { 3 } \right) , \left( \frac { 2 \sqrt { 3 } } { 3 } , \frac { 1 } { 3 } \right)\)
• C) \(\left( \frac { 2 \sqrt { 3 } } { 3 } , \frac { \sqrt { 3 } } { 3 } \right) , \left( - \frac { 2 \sqrt { 3 } } { 3 } , - \frac { \sqrt { 3 } } { 3 } \right)\)
• D) \(\left( \frac { - 2 } { 3 } , \frac { 1 } { 3 } \right) , \left( \frac { 2 \sqrt { 3 } } { 3 } , - \frac { 1 } { 3 } \right)\)

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