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Septimic

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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

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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

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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]