Difference between revisions of "1978 USAMO Problems"

(Created page with "==Problem 1== ==Problem 2== ==Problem 3== ==Problem 4== ==Problem 5==")
 
(Problem 1)
Line 1: Line 1:
 
==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 2==

Revision as of 19:59, 16 August 2011

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