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2015 Saudi Arabia Pre-TST
1.3
x^2y^5 - 2^x5^y = 2015 + 4xy
x^2y^5 - 2^x5^y = 2015 + 4xy
Source: 2015 Saudi Arabia Pre-TST 1.3
September 12, 2020
Diophantine equation
diophantine
number theory
Problem Statement
Find all integer solutions of the equation
x
2
y
5
ā
2
x
5
y
=
2015
+
4
x
y
x^2y^5 - 2^x5^y = 2015 + 4xy
x
2
y
5
ā
2
x
5
y
=
2015
+
4
x
y
.(Malik Talbi)
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