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2018 Thailand TSTST
5
Easy Algebra
Easy Algebra
Source: 2017 Thailand October Camp 1.5
February 25, 2022
algebra
Problem Statement
Find all triples of real numbers
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
satisfying a+b+c=14, a^2+b^2+c^2=84, a^3+b^3+c^3=584.
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