2006 AMC 10B Problems/Problem 14
Revision as of 15:00, 2 August 2006 by Xantos C. Guin (talk | contribs) (added link to previous and next problem)
Problem
Let and
be the roots of the equation
. Suppose that
and
are the roots of the equation
. What is
?
Solution
In a quadratic equation in the form , the product of the roots is
.
Using this property, we have that and