Solve the Nonlinear System of Equations for Real Solutions $\left\{ \begin{array} { l } y = x ^ { 2 } + 2 \\y = - x ^ { 2 } + 4\end{array} \right.$

Multiple Choice

Solve the nonlinear system of equations for real solutions.
- $\left\{ \begin{array} { l } y = x ^ { 2 } + 2 \\y = - x ^ { 2 } + 4\end{array} \right.$

A) $( 1,3 ) , ( - 1,3 )$
B) $( 1,3 ) , ( 1 , - 3 ) , ( - 1,3 ) , ( - 1 , - 3 )$
C) $\varnothing$
D) $( 3,1 ) , ( 3 , - 1 )$