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Turkey Team Selection Test
2001 Turkey Team Selection Test
1
5^x = 1 + 4y + y^4
5^x = 1 + 4y + y^4
Source: Turkey TST 2001 - P4
April 4, 2013
number theory proposed
number theory
Problem Statement
Find all ordered pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
5
x
=
1
+
4
y
+
y
4
5^x = 1 + 4y + y^4
5
x
=
1
+
4
y
+
y
4
.
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