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Path: ...!3.eu.feeder.erje.net!feeder.erje.net!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp Message-ID: <CTS2_7LF_Yo7VgrVVP3X6RrYR8g@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: =?UTF-8?Q?R=C3=A9solution=20du=20probl=C3=A8me=20pos=C3=A9?= References: <VTMItxncAEYELeWXOtGSe5FrxHU@jntp> <v5eao5$1hiil$1@dont-email.me> Newsgroups: fr.sci.maths JNTP-HashClient: WZj-XZ1TGEWblHWhnbCwcQWk_74 JNTP-ThreadID: YpSMaYU8zs1oRMOgtTGbPV26LfM JNTP-Uri: http://news2.nemoweb.net/?DataID=CTS2_7LF_Yo7VgrVVP3X6RrYR8g@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Mon, 01 Jul 24 12:29:14 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/126.0.0.0 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="e8cbf2474b472b9bb79db3dccb6a856bc1d05409"; logging-data="2024-07-01T12:29:14Z/8927056"; posting-account="4@news2.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@wanadou.fr> Bytes: 1780 Lines: 29 Le 25/06/2024 à 13:47, efji a écrit : > Le 25/06/2024 à 13:36, Richard Hachel a écrit : > Et le gros malin il fait comment pour résoudre > > sqrt(3x+7)+sqrt(x+2)=2 Faaaaacile! sqrt(3x+7)=2-sqrt(x-2) 3x+7=[2-sqrt(x+2)]² 3x+7=4-4sqrt(x+2)+(x+2) 2x+1=-4sqrt(x+2) 4x²+4x+1=16x+32 4x²-12x-31=0 Deux racines x'=-2.6622775 x"=4.6622775 Seule le première racine est compatible avec x<-2 R.H.