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AMC 12 2018b Problem 24

  • Paper

Let ⌊x⌋\lfloor x \rfloor denote the greatest integer less than or equal to xx. How many real numbers xx satisfy the equation x2+10,000⌊x⌋=10,000xx^2 + 10,000\lfloor x \rfloor = 10,000x?

(A) 197(B) 198(C) 199(D) 200(E) 201\textbf{(A) } 197 \textbf{(B) } 198 \textbf{(C) } 199 \textbf{(D) } 200 \textbf{(E) } 201

Dataset text AMC 12 2000 to 2025. Quoted with source.

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C

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