Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{aligned}10 x ^ { 2 } - 5 y ^ { 2 } & = 15 \\- x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$

question 131

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{aligned}10 x ^ { 2 } - 5 y ^ { 2 } & = 15 \\- x ^ { 2 } + y ^ { 2 } & = 1\end{aligned} \right.$

• A) \(( 2 , \sqrt { 5 } ) , ( - 2 , - \sqrt { 5 } )\)
• B) \(( \sqrt { 5 } , 2 ) , ( \sqrt { 5 } , - 2 ) , ( - \sqrt { 5 } , 2 ) , ( - \sqrt { 5 } , - 2 )\)
• C) \(( 2 , \sqrt { 5 } ) , ( 2 , - \sqrt { 5 } ) , ( - 2 , \sqrt { 5 } ) , ( - 2 , - \sqrt { 5 } )\)
• D) \(( 2 , \sqrt { 5 } ) , ( 2 , - \sqrt { 5 } )\)

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