Give All Solutions of the Nonlinear System of Equations, Including $\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

A) {(-1,2) ,(1,-2) }
B) {(1,2) ,(-1,2) ,(1,-2) ,(-1,-2) }
C) {(2,1) ,(-2,-1) }
D) {(2,1) ,(2,-1) ,(-2,1) ,(-2,-1) }