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Baltic Way
2002 Baltic Way
5
Rational equation
Rational equation
Source: Baltic Way 2002
November 13, 2010
number theory proposed
number theory
Problem Statement
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of positive rational numbers such that
a
+
b
=
2
+
3
.
\sqrt{a}+\sqrt{b}=\sqrt{2+\sqrt{3}}.
a
+
b
=
2
+
3
.
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