Math Gold Medalist

Lor

2023 AMC 10B 

Problem 22

How many distinct values of $x$ satisfy $\lfloor{x}\rfloor^2-3x+2=0.$ where $\lfloor{x}\rfloor$ denotes the largest integer less than or equal to $x$?

$\textbf{(A) } \text{an infinite number} \qquad \textbf{(B) } 4 \qquad \textbf{(C) } 2 \qquad \textbf{(D) } 3 \qquad \textbf{(E) } 0$

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   Solution