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1994 Argentina National Olympiad
2
x^4 + 6x^3 + 11x^2 + 3x + 31 is a perfect square
x^4 + 6x^3 + 11x^2 + 3x + 31 is a perfect square
Source: Argentina 1994 OMA L3 p2
May 13, 2024
number theory
Perfect Squares
algebra
Problem Statement
For what positive integer values of
x
x
x
is
x
4
+
6
x
3
+
11
x
2
+
3
x
+
31
x^4 + 6x^3 + 11x^2 + 3x + 31
x
4
+
6
x
3
+
11
x
2
+
3
x
+
31
a perfect square?
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