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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.1
diophantine xy =1997(x + y) (IV Soros Olympiad 1997-98 Correspondence 11.1)
diophantine xy =1997(x + y) (IV Soros Olympiad 1997-98 Correspondence 11.1)
Source:
June 1, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Solve the equation
x
y
=
1997
(
x
+
y
)
xy =1997(x + y)
x
y
=
1997
(
x
+
y
)
in integers.
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