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Sum Reals, Get Integer (Posted on 2016-07-09) Difficulty: 3 of 5
Find all nonnegative real numbers R such that:

3√(13+√R) + 3√(13-√R) is an integer.

Prove that there are no others.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution Comment 3 of 3 |
(In reply to Solution by Brian Smith)

quotation


"This means I will always be positive."

I think this is a good decision. 

  Posted by armando on 2016-07-10 09:42:08
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