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Moldova Team Selection Test
2017 Moldova Team Selection Test
11
11
Part of
2017 Moldova Team Selection Test
Problems
(1)
Surprising Moldova 17 TST B11 problem
Source: Moldova 2017 TST, B11
3/20/2017
Find all ordered pairs of nonnegative integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
4
−
x
2
y
2
+
y
4
+
2
x
3
y
−
2
x
y
3
=
1.
x^4-x^2y^2+y^4+2x^3y-2xy^3=1.
x
4
−
x
2
y
2
+
y
4
+
2
x
3
y
−
2
x
y
3
=
1.
number theory