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Dutch IMO TST
2011 Dutch IMO TST
1
x^2 + y^2 + 3^3 = 456\sqrt{x - y} in ZxZ
x^2 + y^2 + 3^3 = 456\sqrt{x - y} in ZxZ
Source: 2011 Dutch IMO TST1 p1
January 10, 2020
Diophantine equation
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of integers that satisfy
x
2
+
y
2
+
3
3
=
456
x
−
y
x^2 + y^2 + 3^3 = 456\sqrt{x - y}
x
2
+
y
2
+
3
3
=
456
x
−
y
.
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