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| Real Product to Integer (Posted on 2009-09-12) |
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Determine all possible nonzero real R satisfying R = [R]*{R}, such that 5*{R} - [R]/4 is an integer.
Note: [x] is the greatest integer ≤ x, and {x} = x - [x].
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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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R = -3.2 is the only possible solution.
For an explanation, refer to the analytical solution submitted by Harry in this location.
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