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Some Reals Sum Integer (Posted on 2008-08-07) Difficulty: 3 of 5
There are precisely two nonnegative real values of R, so that for each of these values:

3√(3 + √R) + 3√(3 - √R) is an integer.

Find these values, and prove that no other nonnegative real R can conform to the given conditions.

*** While the solution may be facile with the aid of a computer program, show how to derive it without one.

See The Solution Submitted by K Sengupta    
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  Subject Author Date
new approach (spoiler)Daniel2008-08-22 22:00:37
Spoilerxdog2008-08-08 21:12:39
Solution with link to proof (spoiler)Daniel2008-08-08 07:03:55
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