Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } - 2 y ^ { 2 } = 2 \\3 x ^ { 2 } + 2 y ^ { 2 } = 14\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } - 2 y ^ { 2 } = 2 \\3 x ^ { 2 } + 2 y ^ { 2 } = 14\end{array}$$

A) $( 2,1 ) , ( - 2 , - 1 )$
B) $( - 1,2 ) , ( 1 , - 2 )$
C) $( 1,2 ) , ( - 1,2 ) , ( 1 , - 2 ) , ( - 1 , - 2 )$
D) $( 2,1 ) , ( 2 , - 1 ) , ( - 2,1 ) , ( - 2 , - 1 )$