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5
G 5
G 5
Source:
May 25, 2007
Irrational numbers
Problem Statement
Let
a
,
b
,
c
a, b, c
a
,
b
,
c
be integers, not all equal to
0
0
0
. Show that \frac{1}{4a^{2}\plus{}3b^{2}\plus{}2c^{2}}\le\vert\sqrt[3]{4}a\plus{}\sqrt[3]{2}b\plus{}c\vert.
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