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Austrian MO Beginners' Competition
2002 Austria Beginners' Competition
2
2
Part of
2002 Austria Beginners' Competition
Problems
(1)
x^[x]=9/2
Source: 2002 Austria Beginners' Competition p2
10/4/2022
Prove that there are no
x
∈
R
+
x\in\mathbb{R}^+
x
∈
R
+
such that
x
⌊
x
⌋
=
9
2
.
x^{\lfloor x \rfloor }=\frac92.
x
⌊
x
⌋
=
2
9
.
floor function
algebra