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2013 BMT Spring
2
2013 BMT Team 2
2013 BMT Team 2
Source:
January 5, 2022
algebra
Problem Statement
Find the sum of all positive integers
N
N
N
such that
s
=
2
+
N
3
+
2
−
N
3
s =\sqrt[3]{2 + \sqrt{N}} + \sqrt[3]{2 - \sqrt{N}}
s
=
3
2
+
N
+
3
2
−
N
is also a positive integer
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