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2018 AMC 12B Question 24

AMC12 · 2018 AMC 12B

Question 24

Let $\lfloor x\rfloor$ denote the greatest integer less than or equal to $x.$ How many real numbers $x$ satisfy the equation $x^2+10{,}000\lfloor x\rfloor=10{,}000x?$
  1. $197$
  2. $198$
  3. $199$
  4. $200$
  5. $201$