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1
Find all possible values of abc - [UKRMO 2009 Grade 9]
Find all possible values of abc - [UKRMO 2009 Grade 9]
Source:
January 23, 2011
Problem Statement
Pairwise distinct real numbers
a
,
b
,
c
a, b, c
a
,
b
,
c
satisfies the equality
a
+
1
b
=
b
+
1
c
=
c
+
1
a
.
a +\frac 1b =b + \frac 1c =c+\frac 1a.
a
+
b
1
=
b
+
c
1
=
c
+
a
1
.
Find all possible values of
a
b
c
.
abc .
ab
c
.
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