2003 AMC 10A Problems/Problem 18
Revision as of 20:23, 4 November 2006 by Xantos C. Guin (talk | contribs) (added problem and solution)
Problem
What is the sum of the reciprocals of the roots of the equation
?
Solution
Multiplying both sides by :
Let the roots be and
.
The problem is asking for
By Vieta's formulas:
So the answer is .