MathDB
Sum of Root Reciprocals

Source:

January 2, 2009
algebrapolynomialVietaBIG BIG VIETA

Problem Statement

What is the sum of the reciprocals of the roots of the equation \frac {2003}{2004}x \plus{} 1 \plus{} \frac {1}{x} \equal{} 0? (A)\ \minus{}\! \frac {2004}{2003} \qquad (B)\ \minus{} \!1 \qquad (C)\ \frac {2003}{2004} \qquad (D)\ 1 \qquad (E)\ \frac {2004}{2003}