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

Home > Just Math
Sum powers do not take five (Posted on 2011-06-30) Difficulty: 3 of 5
α and β are two roots of the equation x2 6x + 1 = 0

Prove that αn+ βn is an integer for every positive integer value of n, and it is not divisible by 5 for any positive integer value of n

No Solution Yet Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnother SolutionBrian Smith2017-10-25 13:06:48
Possible solutionbroll2011-07-01 01:57:49
SolutionsolutionDej Mar2011-06-30 16:51:19
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information