Floor Function ⌊x⌋ Nested Sum

1925SpecialistCombinatoricsAlgebraNumber Theory

AMC 12B · 2018 · Problem 24

Let $\lfloor x \rfloor$ denote the greatest integer less than or equal to $x$. How many real numbers $x$ satisfy the equation $x^2 + 10,000\lfloor x \rfloor = 10,000x$?

Answer choices

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201

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