Re: y=f(x)=(x²)²+2x²+3

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Sujet : Re: y=f(x)=(x²)²+2x²+3
De : dohduhdah (at) *nospam* yahoo.com (sobriquet)
Groupes : sci.math
Date : 06. Feb 2025, 20:15:40
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Organisation : A noiseless patient Spider
Message-ID : <vo31ot$33ac7$1@dont-email.me>
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User-Agent : Mozilla Thunderbird
Op 06/02/2025 om 16:42 schreef Richard Hachel:
Bonjour les amis !
 I asked for the roots of the following equation on the French forums, I only got one answer that didn't satisfy me, and the rest is just contempt and insults.
So I'm trying my luck here.
 y=f(x)=(x²)²+2x²+3
 Il y a pour moi, deux racines très simples pour cette équation, dont aucun n'est réelle.
 Can the Anglo-Saxons find these two roots?
 R.H.
 
Actually there are four complex roots.
https://www.wolframalpha.com/input?i=x%5E4%2B2x%5E2%2B3
https://www.desmos.com/calculator/in0q2rqzc9

Date Sujet#  Auteur
6 Feb 25 * y=f(x)=(x²)²+2x²+321Richard Hachel
6 Feb 25 `* Re: y=f(x)=(x²)²+2x²+320sobriquet
6 Feb 25  `* Re: y=f(x)=(x²)²+2x²+319Richard Hachel
6 Feb 25   `* Re: y=f(x)=(x²)²+2x²+318sobriquet
6 Feb 25    +* Re: y=f(x)=(x²)²+2x²+34Chris M. Thomasson
6 Feb 25    i+- Re: y=f(x)=(x²)²+2x²+31FromTheRafters
7 Feb 25    i`* Re: y=f(x)=(x²)²+2x²+32Richard Hachel
7 Feb 25    i `- Re: y=f(x)=(x²)²+2x²+31FromTheRafters
6 Feb 25    `* Re: y=f(x)=(x²)²+2x²+313Richard Hachel
6 Feb 25     +- Re: y=f(x)=(x²)²+2x²+31Python
7 Feb 25     `* Re: y=f(x)=(x²)²+2x²+311sobriquet
7 Feb 25      `* Re: y=f(x)=(x²)²+2x²+310Richard Hachel
7 Feb 25       +* Re: y=f(x)=(x²)²+2x²+38Alan Mackenzie
7 Feb 25       i+* Re: y=f(x)=(x²)²+2x²+34Richard Hachel
7 Feb 25       ii`* Re: y=f(x)=(x²)²+2x²+33Python
7 Feb 25       ii +- Re: y=f(x)=(x²)²+2x²+31Richard Hachel
22 Feb 25       ii `- Re: y=f(x)=(x²)²+2x²+31Moebius
7 Feb 25       i+- Re: y=f(x)=(x²)²+2x²+31Richard Hachel
22 Feb 25       i`* Re: y=f(x)=(x²)²+2x²+32Moebius
22 Feb 25       i `- Re: y=f(x)=(x²)²+2x²+31Alan Mackenzie
7 Feb 25       `- Re: y=f(x)=(x²)²+2x²+31sobriquet

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