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Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2016 Junior Balkan Team Selection Tests - Moldova
2
Moldova Junior TST for JBMO 2016 - Problem 2
Moldova Junior TST for JBMO 2016 - Problem 2
Source: Moldovian Junior TST
February 29, 2016
inequalities
Problem Statement
This is a really easy one for Junior level :p
a
2
+
b
2
+
c
2
+
a
b
+
b
c
+
a
c
=
6
a^2+b^2+c^2+ab+bc+ac=6
a
2
+
b
2
+
c
2
+
ab
+
b
c
+
a
c
=
6
a,b,c>0 Find max{a+b+c}
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