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National and Regional Contests
Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2007 Bosnia and Herzegovina Junior BMO TST
2
2
Part of
2007 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
x^2(x + y) is divisible by y^2(y - x)^2
Source: 2007 Bosnia & Herzegovina JBMO TST p2
5/27/2020
Find all pairs of relatively prime numbers (
x
,
y
x, y
x
,
y
) such that
x
2
(
x
+
y
)
x^2(x + y)
x
2
(
x
+
y
)
is divisible by
y
2
(
y
ā
x
)
2
y^2(y - x)^2
y
2
(
y
ā
x
)
2
. .
number theory
divisible
divides