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National and Regional Contests
Moldova Contests
Moldova National Olympiad
2010 Moldova National Olympiad
9.1
9.1
Part of
2010 Moldova National Olympiad
Problems
(1)
Weird algebra pls help
Source: Moldova National Olympiad 2010 9.1
9/17/2019
a
a
a
,
b
b
b
,
c
c
c
are real. What is the highest value of
a
+
b
+
c
a+b+c
a
+
b
+
c
if
a
2
+
4
b
2
+
9
c
2
−
2
a
−
12
b
+
6
c
+
2
=
0
a^2+4b^2+9c^2-2a-12b+6c+2=0
a
2
+
4
b
2
+
9
c
2
−
2
a
−
12
b
+
6
c
+
2
=
0
algebra