Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } 10 x ^ { 2 } - 5 y ^ { 2 } = 15 \\- x ^ { 2 } + y ^ { 2 } = 1\end{array} \right.$$

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } 10 x ^ { 2 } - 5 y ^ { 2 } = 15 \\- x ^ { 2 } + y ^ { 2 } = 1\end{array} \right.$$

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