Let m>1 be an integer. Determine the number of positive integer solutions of the equation ⌊xm⌋=⌊xm−1⌋.
Source: Croatia 2000 1st Grade P3
Tags: algebra, floor function
Let m>1 be an integer. Determine the number of positive integer solutions of the equation ⌊xm⌋=⌊xm−1⌋.