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2015 VTRMC
Problem 1
Problem 1
Part of
2015 VTRMC
Problems
(1)
Find all n such that n^4+6n^3+11n^2+3n+31 is perfect square.
Source: 2007 Newton Math Competition Team Questions #5
3/17/2007
Find all n such that
n
4
+
6
n
3
+
11
n
2
+
3
n
+
31
n^{4}+6n^{3}+11n^{2}+3n+31
n
4
+
6
n
3
+
11
n
2
+
3
n
+
31
is a perfect square.