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Baltic Way
2013 Baltic Way
18
Find all pairs (x,y)
Find all pairs (x,y)
Source: 2013 Baltic Way, Problem 18
December 31, 2013
induction
inequalities
number theory unsolved
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
of integers such that
y
3
ā
1
=
x
4
+
x
2
y^3-1=x^4+x^2
y
3
ā
1
=
x
4
+
x
2
.
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