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Contests
National and Regional Contests
India Contests
India IMO Training Camp
2004 India IMO Training Camp
3
Least value(very easy)
Least value(very easy)
Source: my notes
January 4, 2005
inequalities
inequalities proposed
Problem Statement
For
a
,
b
,
c
a,b,c
a
,
b
,
c
positive reals find the minimum value of
a
2
+
b
2
c
2
+
a
b
+
b
2
+
c
2
a
2
+
b
c
+
c
2
+
a
2
b
2
+
c
a
.
\frac{a^2+b^2}{c^2+ab}+\frac{b^2+c^2}{a^2+bc}+\frac{c^2+a^2}{b^2+ca}.
c
2
+
ab
a
2
+
b
2
+
a
2
+
b
c
b
2
+
c
2
+
b
2
+
c
a
c
2
+
a
2
.
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