# Problem #1669

 1669 What is the product of all the roots of the equation $$\sqrt{5 | x | + 8} = \sqrt{x^2 - 16}.$$ $\textbf{(A)}\ -64 \qquad\textbf{(B)}\ -24 \qquad\textbf{(C)}\ -9 \qquad\textbf{(D)}\ 24 \qquad\textbf{(E)}\ 576$ This problem is copyrighted by the American Mathematics Competitions.
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