Solve the Nonlinear System of Equations $$\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 625 \\x & = y ^ { 2 } - 25\end{aligned} \right.$$

Multiple Choice

Solve the nonlinear system of equations.
- $$\left\{ \begin{aligned}x ^ { 2 } + y ^ { 2 } & = 625 \\x & = y ^ { 2 } - 25\end{aligned} \right.$$

A) $( 24,7 ) , ( 24 , - 7 )$
B) $( - 25,0 ) , ( 24,49 ) , ( 24 , - 49 )$
C) $( - 25,0 ) , ( 24,7 ) , ( 24 , - 7 )$
D) $\varnothing$