sndegre.py

Created by elisapuce2005

Created on April 22, 2022

445 Bytes

f(x)=ax^2+bx+c
factorisé: f(x)=a(x-x1)(x-x2)
canonique:a(x-delta)^2+Beta 

delta=-b/2a =>> absisse
Beta = f(delta) =>> ordonnée 
x1+x2= -b/a 
x1*x2= c/a
(delta;beta)= coordonnées de l'extremum
a>0 admet un min, a<0 admet un max 

delta= b^2-4ac

delta>0 => 2 racines 
x1= (-b-racine(delta))/2a
x2= (-b+racine(delta))/2a

delta=0 => 1 racine 
x= -b/2a
delta<0 => pas de racines 

position relative 
étudie f(x)-g(x) avec delta

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