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Path: ...!weretis.net!feeder8.news.weretis.net!usenet.goja.nl.eu.org!news.furie.org.uk!piper.furie.org.uk!pi2.pasdenom.info!from-devjntp Message-ID: <bAEs3Q8MJBL33POSW9beO-OYiI0@jntp> JNTP-Route: nemoweb.net JNTP-DataType: Article Subject: Re: =?UTF-8?Q?x=C2=B2+=34x+=35=3D=30?= References: <4mVsl7f7IEYIck3oOw7iM3AOjN8@jntp> <vmt6vr$1j79q$1@dont-email.me> <vnot43$t6lm$1@dont-email.me> Newsgroups: sci.math JNTP-HashClient: H09dKeJWqj0DSYr0rXPZUJlaZOg JNTP-ThreadID: fUU4pfMdavi5kEgVfObp4Wq4lLA JNTP-Uri: https://www.nemoweb.net/?DataID=bAEs3Q8MJBL33POSW9beO-OYiI0@jntp User-Agent: Nemo/1.0 JNTP-OriginServer: nemoweb.net Date: Sun, 02 Feb 25 23:57:38 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/132.0.0.0 Safari/537.36 Injection-Info: nemoweb.net; posting-host="0622b338f00df6c7e122ad5f6ee90645acf995aa"; logging-data="2025-02-02T23:57:38Z/9195281"; posting-account="4@nemoweb.net"; mail-complaints-to="julien.arlandis@gmail.com" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <r.hachel@tiscali.fr> Bytes: 1897 Lines: 24 Le 02/02/2025 à 23:55, "Chris M. Thomasson" a écrit : > On 1/23/2025 2:51 AM, Peter Fairbrother wrote: >> On 22/01/2025 13:48, Richard Hachel wrote: >>> x²+4x+5=0 >>> >>> This equation has no root, and it never will. >> >> -3.6180339887499 >> -1.3819660112501 > > -2-1i > -2+1i > > The two roots have non-zero imaginary parts, so they are not reals. > > (-2-1i)²+4(-2-1i)+5 = 0 > (-2+1i)²+4(-2+1i)+5 = 0 > > :^) This is obviously very true. But it poses a small problem for me that I can't quite explain. I'll think about that. R.H.