Re: New equation

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.