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Subtract From Product, Get Integer (Posted on 2008-03-08) Difficulty: 3 of 5
Determine all possible rational u satisfying:

u = [u]*{u}, such that:
5*{u} - [u]/4 is an integer.

Note: [x] is the greatest integer ≤ x, and {x} = x - [x]

See The Solution Submitted by K Sengupta    
Rating: 2.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Arithmetic solutionK Sengupta2008-03-21 10:53:09
SolutionArithmetic solutionSteve Herman2008-03-08 17:56:18
Solutioncomputer search (spoiler; no proof)Charlie2008-03-08 12:50:42
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