Find the number of solutions for .
Details and Assumptions
denote the Floor Function .
denote the fractional part function.
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Assuming I understood the question correct [.] was meant to be [x] and {.} was meant to be {x} and [x] means ⌊ x ⌋ and {x} means x − ⌊ x ⌋ .
The integral and fractional part can never be equal unless they are both zero, so a single solution is possible.