Let $$x^3 + bx^2 + cx + d$$ be a polynomial with coefficients in $\mathbf{Q}$. We ask...
...which condition(s) $b,c,d$ must satisfy in order that one ( any ) root be the average of the other two roots?
To be continued.
As of May 4 2007 the scripts will autodetect your timezone settings. Nothing here has to be changed, but there are a few things
Open University pure maths study and research blog
...which condition(s) $b,c,d$ must satisfy in order that one ( any ) root be the average of the other two roots?
Mathematics: is it the fabric of MEST?
This is my voyage
My continuous mission
To uncover hidden structures
To create new theorems and proofs
To boldly go where no man has gone before
(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)
Ya i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..
ReplyDeleteYa i am agree with your thoughts and really the topic of symmetric polynomials is very interesting...i have read something about this topic..
ReplyDelete