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Product of roots of equation

Source: AMC 10 2011 b Problem 19

February 25, 2011
quadraticsabsolute valueAMC

Problem Statement

What is the product of all the roots of the equation 5∣x∣+8=x2−16.\sqrt{5|x|+8} = \sqrt{x^2-16}.
<spanclass=′latex−bold′>(A)</span> −64<spanclass=′latex−bold′>(B)</span> −24<spanclass=′latex−bold′>(C)</span> −9<spanclass=′latex−bold′>(D)</span> 24<spanclass=′latex−bold′>(E)</span> 576 <span class='latex-bold'>(A)</span>\ -64 \qquad <span class='latex-bold'>(B)</span>\ -24 \qquad <span class='latex-bold'>(C)</span>\ -9 \qquad <span class='latex-bold'>(D)</span>\ 24 \qquad <span class='latex-bold'>(E)</span>\ 576
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