1978 USAMO Problems

Revision as of 19:59, 16 August 2011 by Mrdavid445 (talk | contribs) (Problem 1)

Problem 1

The sum of 5 real numbers is 8 and the sum of their squares is 16. What is the largest possible value for one of the numbers?

Problem 2

Problem 3

Problem 4

Problem 5