Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } 10 x ^ { 2 } + y ^ { 2 } = 100 \\10 x ^ { 2 } - y ^ { 2 } = 100\end{array} \right.$

question 81

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } 10 x ^ { 2 } + y ^ { 2 } = 100 \\10 x ^ { 2 } - y ^ { 2 } = 100\end{array} \right.$

• A) \(( \sqrt { 10 } , 0 ) , ( - \sqrt { 10 } , 0 )\)
• B) \(( 0,10 ) , ( 0 , - 10 )\)
• C) \(( 0 , \sqrt { 10 } ) , ( 0 , - \sqrt { 10 } )\)
• D) \(( 10,0 ) , ( - 10,0 )\)

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