1978 USAMO Problems/Problem 1
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Problem
Given that are real numbers such that
,
.
Determine the maximum value of .
Solution
Accordting to Cauchy-Schwarz Inequalities, we can see
thus,
Finally,
that mean,
so the maximum value of
is
from: Mathcenter.net
See Also
1978 USAMO (Problems • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 | ||
All USAMO Problems and Solutions |