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Find x such that x^4+x^3+x^2+x+1 is perfect square (old)
Find x such that x^4+x^3+x^2+x+1 is perfect square (old)
Source:
October 3, 2010
inequalities
number theory proposed
number theory
Problem Statement
Find all numbers
x
ā
Z
x \in \mathbb Z
x
ā
Z
for which the number
x
4
+
x
3
+
x
2
+
x
+
1
x^4 + x^3 + x^2 + x + 1
x
4
+
x
3
+
x
2
+
x
+
1
is a perfect square.
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