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Ecuador Mathematical Olympiad (OMEC)
2018 Ecuador NMO (OMEC)
1
diophantine a^2+b^2=26a has >=12 solutions 2018 Ecuador NMO (OMEC) 3.1
diophantine a^2+b^2=26a has >=12 solutions 2018 Ecuador NMO (OMEC) 3.1
Source:
September 18, 2021
number theory
Diophantine equation
diophantine
Problem Statement
Let
a
,
b
a, b
a
,
b
be integers. Show that the equation
a
2
+
b
2
=
26
a
a^2 + b^2 = 26a
a
2
+
b
2
=
26
a
has at least
12
12
12
solutions.
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