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- polynome degré 0 :
solutions: aucunes ou tous les réels
- polynome degré 1 :
solutions: Une solution : résolution d'équation classique
- polynome degré 2 :
calcul discriminent : b² - 4ac
si D > 0 : x1 = (-b - sqrt(D)) / 2a x2 = (-b + sqrt(D)) / 2a
si D = 0 : x = -b / 2a
si D < 0 : x1 = (-b + i * sqrt(|D|)) / 2a x2 = (-b - i * sqrt(|D|)) / 2a
4 = 0
4 = 4
4x = 0
4x = 2x + 3
2x² + 3x + 4 + 5 = 3x² + 2x - 5 - 6
-x² + 5x - 2 = 0