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2016 Junior Balkan Team Selection Tests - Moldova
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2016 Junior Balkan Team Selection Tests - Moldova
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Moldova Junior TST for JBMO 2016 - Problem 4
Source: Moldova Junior TST for JBMO 2016
2/29/2016
Find all solutions for (x,y) , both integers such that:
x
y
=
3
(
x
2
+
y
2
−
1
)
xy=3(\sqrt{x^2+y^2}-1)
x
y
=
3
(
x
2
+
y
2
−
1
)
number theory