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2022 Bangladesh Mathematical Olympiad
1
All solutions of floor function equation
All solutions of floor function equation
Source: BdMO 2022 Secondary Category P1
April 11, 2022
algebra
Problem Statement
Find all solutions for real
x
x
x
,
⌊
x
⌋
3
−
7
⌊
x
+
1
3
⌋
=
−
13.
\lfloor x\rfloor^3 -7 \lfloor x+\frac{1}{3} \rfloor=-13.
⌊
x
⌋
3
−
7
⌊
x
+
3
1
⌋
=
−
13.
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