Maths: Exercice Second degré


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Comment résoudre équation du 2eme degré ?

Pour résoudre une équation du second degré de la forme ax^2+bx+c=0, on détermine les éventuelles racines du trinôme.
. Le nombre appelé discriminant du trinôme est particulièrement utile dans la recherche des solutions d'une équation du second degré.

Comment résoudre une équation du 2eme degré seconde ?

- 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 trouver x1 et x2 ?

Si x1 et x2 sont les racines d'un polynôme du second degré ax2 + bx + c, alors il se factorise sous la forme a(x ? x1)(x ? x2).
. Si x0 est l'unique racine d'un polynôme du second degré ax2 + bx + c, alors il se factorise sous la forme a(x ? x0)2.










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