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Korea Junior Mathematics Olympiad
2024 Korea Junior Math Olympiad (First Round)
6.
6.
Part of
2024 Korea Junior Math Olympiad (First Round)
Problems
(1)
algebra with gaus
Source: KJMO first round
10/26/2024
Find the number of
x
x
x
which follows the following :
x
−
1
x
=
[
x
]
−
[
1
x
]
x-\frac{1}{x}=[x]-[\frac{1}{x}]
x
−
x
1
=
[
x
]
−
[
x
1
]
(
1
100
≤
x
≤
100
)
( \frac{1}{100} \le x \le {100} )
(
100
1
≤
x
≤
100
)
Gauss
algebra