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2023 Indonesia Regional
4
4
Part of
2023 Indonesia Regional
Problems
(1)
find irrational numbers such that these two things are rational
Source: Indonesia Regional 2023 Essay Number 4
7/16/2023
Find all irrational real numbers
α
\alpha
α
such that
α
3
−
15
α
and
α
4
−
56
α
\alpha^3 - 15 \alpha \text{ and } \alpha^4 - 56 \alpha
α
3
−
15
α
and
α
4
−
56
α
are both rational numbers.
irrational number
algebra
Indonesia
RMO