Art of Problem Solving

1978 USAMO Problems: Difference between revisions

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==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 18:59, 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