AMC 10A 2003 Problem 18

Past Contests AMC 10 AMC 10A - 2003
, , ,
1

What is the sum of the reciprocals of the roots of the equation

\dfrac{2003}{2004} x+1+\dfrac{1}{x}=0 ?

Answer Choices
A. -\dfrac{2004}{2003}
B. -1
C. \dfrac{2003}{2004}
D. 1
E. \dfrac{2004}{2003}