Can you solve this problem?

Algebra Level 3

Given that A is the set of the answer(s) of the equation :

\( 5^{1+\sqrt{x^{2}-4x-1}} + 5^{\frac{5+4x-x^2}{2+\sqrt{x^{2}-4x-1}}} \) = 126

What is the sum of the element(s) in set A?

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