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2020 JBMO Shortlist
3
JBMO Shortlist 2020 A3
JBMO Shortlist 2020 A3
Source: JBMO Shortlist 2020
July 4, 2021
Junior
Balkan
shortlist
algebra
Inequality
minimum
Problem Statement
Find all triples of positive real numbers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
so that the expression
M
=
(
a
+
b
)
(
b
+
c
)
(
a
+
b
+
c
)
a
b
c
M = \frac{(a + b)(b + c)(a + b + c)}{abc}
M
=
ab
c
(
a
+
b
)
(
b
+
c
)
(
a
+
b
+
c
)
gets its least value.
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