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2x² – 2x – 4 = 0. Calcul du discriminant :. a = b = c =. 2 – 2 – 4. D = 36. D > 0, donc l’équation admet deux solutions. x 2 = 2. x 1 = – 1. x² + 4x + 3 = 0. Calcul du discriminant :. a = b = c =. 1 4 3. D = 4.
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2x² – 2x – 4 = 0 Calcul du discriminant : a = b = c = 2 – 2 – 4 D = 36 D > 0, donc l’équation admet deux solutions x2 = 2 x1 = – 1
x² + 4x + 3 = 0 Calcul du discriminant : a = b = c = 1 4 3 D = 4 D > 0, donc l’équation admet deux solutions x2 = –1 x1 = – 3
6x² + 6x – 12 = 0 Calcul du discriminant : a = b = c = 6 6 –12 D = 324 D > 0, donc l’équation admet deux solutions x2 = 1 x1 = – 2
x² + 8x + 16 = 0 Calcul du discriminant : a = b = c = 1 8 16 D = 0 D = 0, donc l’équation admet une solution x= – 4
x² – 6x + 7 = –2 différent de zéro !!! x² – 6x + 9 = 0 Calcul du discriminant : a = b = c = 1 – 6 9 D = 0 D = 0, donc l’équation admet une solution x= 3
– 2x² +3x – 4 = 0 Calcul du discriminant : a = b = c = – 2 3 – 4 D = – 23 D < 0, donc l’équation n’admet pas de solution
4x² – x + 1 = 0 Calcul du discriminant : a = b = c = 4 – 1 1 D = – 15 D < 0, donc l’équation n’admet pas de solution