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

Home > Just Math
Lucas squares (Posted on 2013-12-15) Difficulty: 3 of 5

Let n be an integer, and let (Ln) signify the nth Lucas Number.

((Ln)2+(Ln+1)2)2 - 5((L2n+2)*(L2n)-1) = 0

Prove it!

See The Solution Submitted by broll    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Long solution. | Comment 3 of 6 |
(In reply to re: Long solution. by broll)

If they are I never would have realized it.  I was just playing with the Lucas Numbers and the identities on mathworld until the solution popped out.  It may be just by luck that

You are better at this type of problem than I.  Why does the substitution a^2-3ab+b^2 = -5 even matter?

  Posted by Jer on 2013-12-16 15:46:27

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 (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information