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5
2017 General #5
2017 General #5
Source:
May 8, 2018
algebra
Problem Statement
Given that
a
,
b
,
c
a,b,c
a
,
b
,
c
are integers with
a
b
c
=
60
abc = 60
ab
c
=
60
, and that complex number
ω
≠
1
\omega \neq 1
ω
=
1
satisfies
ω
3
=
1
\omega^3=1
ω
3
=
1
, find the minimum possible value of | a + b\omega + c\omega^2|.
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