Difference between revisions of "1985 OIM Problems/Problem 3"
Clarkculus (talk | contribs) m (→Solution) |
Clarkculus (talk | contribs) m (→Solution) |
(No difference)
|
Latest revision as of 23:47, 8 April 2024
Problem
Find the roots , , , and of the equation: knowing that they're all real, positives and that:
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
By Vieta's, . Because the roots are real and positive, by AM-GM, , so by the equality condition , so .