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Rational Floor Query (Posted on 2015-06-03) Difficulty: 3 of 5
(A) Prove that the equation:
floor(x)*(x2 + 1) = x3 has precisely one real solution in each interval between consecutive positive integers.

(B) Can any of the solutions inclusive of (A) be rational?
If so, provide an example.
If not, prove it.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Part (A) solution, Part (B) answer w/o solution.Jer2015-06-04 10:15:42
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