Réponse :
Explications étape par étape
Bonjour
B = (x - 5)^2 + 8x - 40
B = x^2 - 2x - 15
B = (x - 5)(x + 3)
x = 5 ; x = 0 ; x = -3
B = (5 - 5)^2 + 8 * 5 - 40 = 0 + 40 - 40 = 0
B = (0 - 5)^2 + 8 * 0 - 40 = 25 + 0 - 40 = (-15)
B = (-3 - 5)^2 + 8 * (-3) - 40 = (-8)^2 - 24 - 40 = 64 - 64 = 0
B = 5^2 - 2 * 5 - 15 = 25 - 10 - 15 = 25 - 25 = 0
B = 0^2 - 2 * 0 - 15 = -15
B = (-3)^2 - 2 * (-3) - 15 = 9 + 6 - 15 = 15 - 15 = 0
B = (5 - 5)(5 - 3) = 0 * 2 = 0
B = (0 - 5)(0 + 3) = (-5) * 3 = -15
B = (-3 - 5)(-3 + 3) = (-8) * 0 = 0
Pour x = 5 et x = -3 c’est la 3ieme forme
Pour x = 0 c’est la 2ieme forme
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Réponse :
Explications étape par étape
Bonjour
B = (x - 5)^2 + 8x - 40
B = x^2 - 2x - 15
B = (x - 5)(x + 3)
x = 5 ; x = 0 ; x = -3
B = (5 - 5)^2 + 8 * 5 - 40 = 0 + 40 - 40 = 0
B = (0 - 5)^2 + 8 * 0 - 40 = 25 + 0 - 40 = (-15)
B = (-3 - 5)^2 + 8 * (-3) - 40 = (-8)^2 - 24 - 40 = 64 - 64 = 0
B = 5^2 - 2 * 5 - 15 = 25 - 10 - 15 = 25 - 25 = 0
B = 0^2 - 2 * 0 - 15 = -15
B = (-3)^2 - 2 * (-3) - 15 = 9 + 6 - 15 = 15 - 15 = 0
B = (5 - 5)(5 - 3) = 0 * 2 = 0
B = (0 - 5)(0 + 3) = (-5) * 3 = -15
B = (-3 - 5)(-3 + 3) = (-8) * 0 = 0
Pour x = 5 et x = -3 c’est la 3ieme forme
Pour x = 0 c’est la 2ieme forme