Difference between revisions of "2023 AMC 10B Problems/Problem 22"
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| + | == 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 <math>\lfloor{x}\rfloor^2-3x=0.</math> This imples that -3x must be an integer. | ||
Revision as of 13:52, 15 November 2023
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 
This imples that -3x must be an integer.
