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2020 Junior Balkan Team Selection Tests - Moldova
9
JBMO TST Moldova Problem 9
JBMO TST Moldova Problem 9
Source:
October 14, 2020
algebra
Problem Statement
Find all the real numbers
x
x
x
that verify the equation:
x
−
3
{
x
}
−
{
3
{
x
}
}
=
0
x-3\{x\}-\{3\{x\}\}=0
x
−
3
{
x
}
−
{
3
{
x
}}
=
0
{
a
}
\{a\}
{
a
}
represents the fractional part of
a
a
a
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