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6
Native Sum of all n such that sqrt of quadratic is integer
Native Sum of all n such that sqrt of quadratic is integer
Source: 2017 AIME II #6
March 23, 2017
quadratics
AMC
AIME
AIME II
Problem Statement
Find the sum of all positive integers
n
n
n
such that
n
2
+
85
n
+
2017
\sqrt{n^2+85n+2017}
n
2
+
85
n
+
2017
is an integer.
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