Talk:Septic equation

Latest comment: 4 years ago by D.Lazard in topic Roots

Septimic edit

I am fairly sure that the correct Latin leads to Septimic equation. But even taking out word to do with waste and medicine, Google Scholar still prefers Septic equation,[1][2] so I will ensure it says both. --Rumping (talk) 14:52, 13 March 2011 (UTC)Reply

de Moivre quintic edit

The article refer to the "de Moivre quintic". The link redirects to quintic function where there is no mention of de Moivre quintic. More explanation is needed. D.Lazard (talk) 14:58, 30 May 2011 (UTC)Reply

Redirect to anchor de Moivre quintic created. D.Lazard (talk) 22:15, 18 May 2013 (UTC)Reply

Roots edit

The text underneath the first image says a septic equation can have 1,3,5, or 7 real roots. I am confused as a septic equation such as x^7+10x^6+42x^5+96x^4+129x^3+102x^2+44x+8=0 has only 2 real solutions/roots: 1 and 2. Can someone please explain — Preceding unsigned comment added by Bronini (talkcontribs) 17:44, 9 October 2019 (UTC) Bronini (talk) 17:52, 9 October 2019 (UTC)Reply

I have fixed the caption. If there are two different real roots, this means that one of them is a double root or has a higher even multiplicity. I have not checked your example, but it is sure that 1 and 2 are not roots of it, as all coeffiecients are positive. D.Lazard (talk) 19:45, 9 October 2019 (UTC)Reply