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| Rational Floor Query (Posted on 2015-06-03) |
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(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.
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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For Part A, refer to the solution submitted by Jer in this location. in which, he also attempted to solve Part B. |
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