polonôme second degré URGENT


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  • Comment trouver l'extremum d'une fonction du second degré ?

    L'extremum d'une fonction polynôme de la forme f(x)= ax² + bx + c est atteint lorsque x= −b 2a .
    Si a est positif alors f ( −b 2a ) correspond à la valeur minimale de la fonction, si a est négatif, cela correspond au maximum de la fonction.

  • Étape 1 : Calcul du discriminant Δ = b² - 4ac.
    Si Δ < 0 : Pas de solution à l'équation ; Si Δ = 0 : Une seule solution S = -b/2a ; Si Δ > 0 : Deux solutions à l'équation S = {(-b-racine(Δ))/2a, (-b+racine(Δ))/2a}.

12 sept. 2010 · Exprime AB en fonction de AC à partir de la deuxième équation que tu as trouvé, puis tu remplaces dans la première relation pour trouver AC.Autres questions
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Comment trouver x1 et x2 ?

- Si ? > 0, alors l'équation admet deux solutions réelles notées x1 et x2.
. On a alors : x1 = (?b ? ?? ) / (2a) et x2 = (?b + ?? ) / (2a) ; - Si ? = 0, alors l'équation admet une solution réelle double notée x0.

Comment résoudre un polynôme de degré 2 ?

On calcule le discriminant ? = b2 – 4ac de la fonction polynôme f définie par f(x) = ax2 + bx + c. Étudier le signe du discriminant ?.
. Si ? < 0, alors cette équation n'admet pas de solutions réelles.
. Si ? = 0, alors cette équation admet une solution unique .

Comment trouver à dans une fonction polynôme de degré 2 ?

On appelle forme développée d'une fonction polynôme du second degré sa forme du type f(x)=ax^2+bx+c.










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