All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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.

  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: Solutionarmando2016-07-10 09:42:08
Some Thoughtsre: SolutionJer2016-07-09 13:50:28
SolutionSolutionBrian Smith2016-07-09 11:27:56
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information