Path: ...!news.nobody.at!weretis.net!feeder8.news.weretis.net!pasdenom.info!from-devjntp
Message-ID: <MdFKJkn1eo5JIPYvDFqbuWOCJVo@jntp>
JNTP-Route: nemoweb.net
JNTP-DataType: Article
Subject: Today's curve.
Newsgroups: sci.math
JNTP-HashClient: vBYdbm2MC3tuXftYU2KzK3w7gfc
JNTP-ThreadID: KjMUWn2AQCU4qKSwQzAwtoOQT2Y
JNTP-Uri: https://www.nemoweb.net/?DataID=MdFKJkn1eo5JIPYvDFqbuWOCJVo@jntp
User-Agent: Nemo/1.0
JNTP-OriginServer: nemoweb.net
Date: Fri, 28 Mar 25 12:33:37 +0000
Organization: Nemoweb
JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/134.0.0.0 Safari/537.36
Injection-Info: nemoweb.net; posting-host="0622b338f00df6c7e122ad5f6ee90645acf995aa"; logging-data="2025-03-28T12:33:37Z/9257659"; 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: 1649
Lines: 19

Hello, math lovers.

We will now present today's curve.

Let the function f(x)=x⁴-2x²+8 be given.

First question (4 points):
1. Give the coordinates (x,y) of three points through which this curve 
f(x) passes.

Second question (4 points):
2. Give the equation of the function g(x) with point symmetry $(0,y₀).

Third question (6 points):
3. Give the two complex roots of f(x).

Fourth question (6 points):
4. Verify that the answers are correct by including them in f(x).

R.H.