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3
Perfect square
Perfect square
Source:
December 18, 2005
AMC
AIME
algebra
polynomial
Vieta
quadratics
special factorizations
Problem Statement
Find the sum of all positive integers
n
n
n
for which
n
2
ā
19
n
+
99
n^2-19n+99
n
2
ā
19
n
+
99
is a perfect square.
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