Prove that the equation

   x³ + 2px² + 2p²x + p = 0

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

(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