2013 AMC 12B Problems/Problem 17
Revision as of 16:47, 22 February 2013 by Turkeybob777 (talk | contribs)
Problem
Let and
be real numbers such that
and
What is the difference between the maximum and minimum possible values of ?
Solution
. Now, by C-S, we have that
. Therefore, we have that
. We then find the roots of
that satisfy equality and find the difference of the roots. This gives the answer,
.