Determine the Real Solutions to the System of Nonlinear Equations $$y ^ { 2 } + 2 x ^ { 2 } = 28$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$y ^ { 2 } + 2 x ^ { 2 } = 28$$
$y ^ { 2 } - x ^ { 2 } = 1$

A) $( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } ) , ( - 3 , \sqrt { 10 } ) , ( - 3 , - \sqrt { 10 } )$
B) $( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } )$
C) $( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } ) , ( - 4 , \sqrt { 10 } ) , ( - 4 , - \sqrt { 10 } )$
D) $( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } )$