MathDB

(227) 1

Part of 1989 Tournament Of Towns

Problems(1)

TOT 227 1989 Autumn A J1 [ x / 2 ] = [ x / 11 ] +1

Source:

3/12/2021
Find the number of solutions in positive integers of the equation ⌊x2⌋=⌊x11⌋+1\lfloor \frac{x}{2} \rfloor = \lfloor \frac{x}{11} \rfloor +1
where ⌊A⌋\lfloor A\rfloor denotes the integer part of the number AA, e.g. ⌊2.031⌋=2\lfloor 2.031\rfloor = 2, ⌊2⌋=2\lfloor 2\rfloor = 2, etc.
floor function