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2017 AMC 10A Problems/Problem 5

Revision as of 14:10, 8 February 2017 by Fluffyduckey18 (talk | contribs) (Created page with "==Problem== The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers? <math>\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\q...")
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Problem

The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 8\qquad\textbf{(E)}\ 12$

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