perplexus.info :: Just Math : Sum Reals, Get Integer

Sum Reals, Get Integer (Posted on 2016-07-09)

Find all nonnegative real numbers R such that:

³√(13+√R) + ³√(13-√R) is an integer.

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required on negative values of R are:
20188/27, 196, 123200/729, and 29645/216.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	armando	2016-07-10 09:42:08
re: Solution	Jer	2016-07-09 13:50:28
Solution	Brian Smith	2016-07-09 11:27:56

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