Question 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 $x?$
\lfloor x \rfloor^2 - 3x + 2 = 0,
$$ where $\lfloor x \rfloor$ denotes the largest integer less than or equal to $x?$