Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = 8 \\x ^ { 2 } - 2 y ^ { 2 } = 12\end{array} \right.$$

question 83

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } x ^ { 2 } + 2 y ^ { 2 } = 8 \\x ^ { 2 } - 2 y ^ { 2 } = 12\end{array} \right.$$

• A) \(( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } )\)
• B) \(( \sqrt { 10 } , \sqrt { 2 } ) , ( \sqrt { 10 } , - \sqrt { 2 } ) , ( - \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )\)
• C) \(( \sqrt { 10 } , \sqrt { 2 } ) , ( - \sqrt { 10 } , - \sqrt { 2 } )\)
• D) \(\varnothing\)

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