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n and (n^3+2n^2+2n+4) both perfect squares (HOMC 2010 J Q8)
n and (n^3+2n^2+2n+4) both perfect squares (HOMC 2010 J Q8)
Source:
July 25, 2019
number theory
Perfect Squares
Perfect Square
Problem Statement
If
n
n
n
and
n
3
+
2
n
2
+
2
n
+
4
n^3+2n^2+2n+4
n
3
+
2
n
2
+
2
n
+
4
are both perfect squares, fi nd
n
n
n
.
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