Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 116 \\x ^ { 2 } - y ^ { 2 } = 84\end{array}$$

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 116 \\x ^ { 2 } - y ^ { 2 } = 84\end{array}$$

A) $( 10 , - 4 ) , ( 10,4 )$
B) $( - 10 , - 4 ) , ( - 4 , - 10 )$
C) $( 10,4 ) , ( - 10,4 ) , ( 10 , - 4 ) , ( - 10 , - 4 )$
D) $( 10,4 ) , ( 4,10 ) , ( - 10 , - 4 ) , ( - 4 , - 10 )$