MathDB

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Part of 2022 Bangladesh Mathematical Olympiad

Problems(1)

All solutions of floor function equation

Source: BdMO 2022 Secondary Category P1

4/11/2022
Find all solutions for real xx, ⌊x⌋3−7⌊x+13⌋=−13.\lfloor x\rfloor^3 -7 \lfloor x+\frac{1}{3} \rfloor=-13.
algebra