MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2001 Junior Balkan Team Selection Tests - Moldova
2
2
Part of
2001 Junior Balkan Team Selection Tests - Moldova
Problems
(1)
[x] {x } = 2001 x
Source: 2001 Moldova JBMO TST p2
2/20/2021
Solve in
R
R
R
equation
[
x
]
ā
{
x
}
=
2001
x
[x] \cdot \{x\} = 2001 x
[
x
]
ā
{
x
}
=
2001
x
, where
[
.
]
[ .]
[
.
]
and
{
.
}
\{ .\}
{
.
}
represent respectively the floor and the integer functions.
algebra
floor function