2023 AMC 10B Problems/Problem 22

Revision as of 13:52, 15 November 2023 by Technodoggo (talk | contribs)

Solution

First, we get the trivial solution by ignoring the floor. (x-2)(x-1) = 0, we get 2,1 as solutions.

Next, we see that $\lfloor{x}\rfloor^2-3x=0.$ This imples that -3x must be an integer.