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Baltic Way
1991 Baltic Way
6
Equation with integer part and fractional part
Equation with integer part and fractional part
Source:
April 19, 2013
floor function
Problem Statement
Solve the equation
[
x
]
⋅
{
x
}
=
1991
x
[x] \cdot \{x\} = 1991x
[
x
]
⋅
{
x
}
=
1991
x
. (Here
[
x
]
[x]
[
x
]
denotes the greatest integer less than or equal to
x
x
x
, and
{
x
}
=
x
−
[
x
]
\{x\}=x-[x]
{
x
}
=
x
−
[
x
]
.)
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