MathDB
2021 BMT Algebra #5

Source:

March 10, 2024
floor functionalgebra

Problem Statement

Compute the sum of the real solutions to ⌊x⌋{x}=2020x\lfloor x \rfloor \{x\} = 2020x. Here, ⌊x⌋\lfloor x \rfloor is defined as the greatest integer less than or equal to xx, and{x}=x−⌊x⌋ \{x\} = x -\lfloor x \rfloor.
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