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2003 AMC 10A Question 18

AMC10 · 2003 AMC 10A

Question 18

What is the sum of the reciprocals of the roots of the equation $$
\dfrac{2003}{2004}x + 1 + \dfrac{1}{x} = 0?
$$
  1. $-\dfrac{2004}{2003}$
  2. $-1$
  3. $\dfrac{2003}{2004}$
  4. $1$
  5. $\dfrac{2004}{2003}$