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Maximum of a+b+c
Maximum of a+b+c
Source:
May 18, 2015
inequalities
Problem Statement
Find the maximum possible value of
a
+
b
+
c
,
a + b + c ,
a
+
b
+
c
,
if
a
,
b
,
c
a,b,c
a
,
b
,
c
are positive real numbers such that
a
2
+
b
2
+
c
2
=
a
3
+
b
3
+
c
3
.
a^2 + b^2 + c^2 = a^3 + b^3 + c^3 .
a
2
+
b
2
+
c
2
=
a
3
+
b
3
+
c
3
.
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