perplexus.info :: Just Math : 3 Distinct Roots Not

3 Distinct Roots Not (Posted on 2008-03-04)

Prove that the equation

牋爔³ + 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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