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2019 Peru Cono Sur TST
P1
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2019 Peru Cono Sur TST
Problems
(1)
one more number theory problem
Source: 2019 Perú Cono Sur TST
6/16/2023
Find all a positive integers
a
a
a
and
b
b
b
, such that
a
b
+
b
a
a
a
−
b
b
\frac{a^b+b^a}{a^a-b^b}
a
a
−
b
b
a
b
+
b
a
is an integer
inequalities
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