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

Home > Just Math
3 Distinct Roots Not (Posted on 2008-03-04) Difficulty: 3 of 5
Prove that the equation

   x3 + 2px2 + 2p2x + p = 0

cannot have three distinct real roots, for any real number p.

See The Solution Submitted by Bractals    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Viete! | Comment 3 of 4 |
(In reply to Viete! by Chesca Ciprian)

Well done,  CC.

I also thought about utilising Vieta's Formulas to solve the problem, but you beat me to it.

Edited on March 5, 2008, 1:25 pm
  Posted by K Sengupta on 2008-03-05 13:08:07

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 (10)
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