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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

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