Re: New equation

Liste des GroupesRevenir à s math 
Sujet : Re: New equation
De : dohduhdah (at) *nospam* yahoo.com (sobriquet)
Groupes : sci.math
Date : 24. Feb 2025, 22:49:47
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Op 24/02/2025 om 22:11 schreef Richard Hachel:
Le 24/02/2025 à 21:23, Barry Schwarz a écrit :
On Mon, 24 Feb 25 18:52:17 +0000, Richard Hachel <r.hachel@tiscali.fr>
 
A quartic always has four roots.
 Here, I would still put a small caveat.
The fact of saying that an equation of degree n has n roots is perhaps not entirely correct.
I ask myself the question.
If for example we write f(x)=x^3+3x-4, it is indeed an equation of degree 3.
But how many roots, and what are they?
I asked this question to mathematicians, and to artificial intelligence, and I was given three roots, but they are incorrect, because those who answer do not seem to understand the real concept of imaginary numbers.
There is in fact only one root.
A very strange root composed of a real root and a complex root. Both placed on the same point A(1,0) and A(-i,0).
 R.H.
https://i.imgur.com/6bUA65Y.png
The conventional definition of complex multiplication is carefully chosen to preserve geometric interpretations, algebraic properties, and consistency with real numbers. The alternative definition fails to meet these requirements, making it unsuitable for use in complex analysis and its applications.

Date Sujet#  Auteur
24 Feb 25 * New equation57Richard Hachel
24 Feb 25 `* Re: New equation56Barry Schwarz
24 Feb 25  +- Re: New equation1Richard Hachel
24 Feb 25  `* Re: New equation54Richard Hachel
24 Feb 25   +- Re: New equation1sobriquet
25 Feb 25   `* Re: New equation52Barry Schwarz
25 Feb 25    +* Re: New equation50Richard Hachel
25 Feb 25    i`* Re: New equation49Chris M. Thomasson
25 Feb 25    i `* Re: New equation48Richard Hachel
26 Feb 25    i  `* Re: New equation47Chris M. Thomasson
26 Feb 25    i   +* Re: New equation2Chris M. Thomasson
26 Feb 25    i   i`- Re: New equation1Chris M. Thomasson
26 Feb 25    i   `* Re: New equation44Richard Hachel
26 Feb 25    i    +* Re: New equation2Chris M. Thomasson
26 Feb 25    i    i`- Re: New equation1Richard Hachel
26 Feb 25    i    `* Re: New equation41sobriquet
26 Feb 25    i     `* Re: New equation40Richard Hachel
26 Feb 25    i      `* Re: New equation39sobriquet
26 Feb 25    i       `* Re: New equation38Chris M. Thomasson
27 Feb 25    i        `* Re: New equation37Ross Finlayson
27 Feb 25    i         +- Re: New equation1Chris M. Thomasson
27 Feb 25    i         `* Re: New equation35efji
28 Feb 25    i          `* Re: New equation34Ross Finlayson
28 Feb 25    i           +* Re: New equation3Chris M. Thomasson
28 Feb 25    i           i`* Re: New equation2Ross Finlayson
28 Feb 25    i           i `- Re: New equation1Chris M. Thomasson
28 Feb 25    i           +- Re: New equation1efji
28 Feb 25    i           `* Re: New equation29Jim Burns
28 Feb 25    i            `* Re: New equation28Ross Finlayson
28 Feb 25    i             `* Re: New equation27Jim Burns
1 Mar 25    i              `* Re: New equation26Ross Finlayson
1 Mar 25    i               +* Re: New equation24Jim Burns
1 Mar 25    i               i`* Re: New equation23Ross Finlayson
2 Mar 25    i               i `* Re: New equation22Jim Burns
2 Mar 25    i               i  +* Re: New equation4Richard Hachel
2 Mar 25    i               i  i`* Re: New equation3Python
2 Mar 25    i               i  i `* Re: New equation2Richard Hachel
2 Mar 25    i               i  i  `- Re: New equation1Python
2 Mar 25    i               i  `* Re: New equation17Ross Finlayson
2 Mar 25    i               i   `* Re: New equation16Jim Burns
2 Mar 25    i               i    `* Re: New equation15Richard Hachel
2 Mar 25    i               i     +* Re: New equation10Python
2 Mar 25    i               i     i+* Re: New equation2efji
2 Mar 25    i               i     ii`- Re: New equation1Chris M. Thomasson
2 Mar 25    i               i     i`* Re: New equation7Richard Hachel
2 Mar 25    i               i     i +* Re: New equation5efji
2 Mar 25    i               i     i i`* Re: New equation4Richard Hachel
2 Mar 25    i               i     i i `* Re: New equation3Python
2 Mar 25    i               i     i i  `* Re: New equation2Richard Hachel
2 Mar 25    i               i     i i   `- Re: New equation1Python
2 Mar 25    i               i     i `- Re: New equation1Python
2 Mar 25    i               i     `* Re: New equation4Jim Burns
2 Mar 25    i               i      `* Re: New equation3Chris M. Thomasson
2 Mar 25    i               i       `* Re: New equation2Jim Burns
2 Mar 25    i               i        `- Re: New equation1Chris M. Thomasson
1 Mar 25    i               `- Re: New equation1Jim Burns
26 Feb 25    `- Re: New equation1Chris M. Thomasson

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