Determine all possible real numbers x that satisfy this equation:

           4x⌊3x⌊x⌋⌋ = 2022

Note: ⌊n⌋ denotes floor(n), that is, the greatest integer less than or equal to n.

(In reply to re: computer-assisted solution by Steve Herman)

No, there is only a single solution.  The LHS a strictly increasing function because of the x that isn't inside a floor function.

Posted by Jer on 2022-10-28 21:48:38