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2
x [x [x]] =\sqrt2
x [x [x]] =\sqrt2
Source: 2008 Austria Beginners' Competition p2
October 12, 2022
floor function
algebra
Problem Statement
Determine all real numbers
x
x
x
satisfying
x
⌊
x
⌊
x
⌋
⌋
=
2
.
x \lfloor x \lfloor x \rfloor \rfloor =\sqrt2.
x
⌊
x
⌊
x
⌋⌋
=
2
.
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