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Mathematics
Mathematics
Problem
If
a
+
b
+
c
=
a
b
c
a + b + c = abc
a
+
b
+
c
=
ab
c
,
a
a
a
,
b
b
b
and
c
∈
R
+
c \in \mathbb{R}^+
c
∈
R
+
, prove that
a
+
b
+
c
≥
3
3
a + b + c \ge 3\sqrt{3}
a
+
b
+
c
≥
3
3
.
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