Solve the Nonlinear System of Equations $$\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 37 \\x ^ { 2 } + y ^ { 2 } = 43\end{array} \right.$$

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 37 \\x ^ { 2 } + y ^ { 2 } = 43\end{array} \right.$$

A) $( - 2 \sqrt { 10 } , - \sqrt { 3 } )$
B) $( 2 \sqrt { 10 } , \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , \sqrt { 3 } ) , ( 2 \sqrt { 10 } , - \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , - \sqrt { 3 } )$
C) $( 2 \sqrt { 10 } , \sqrt { 3 } ) , ( - 2 \sqrt { 10 } , \sqrt { 3 } )$
D) $\varnothing$