Bonjour,
-3x(2x+4)+1 < 4-(5x+7)
-6x²-12x + 1 < 4 - 5x - 7
-6x² - 12x + 5x + 1 - 4 + 7 < 0
-6x² - 7x + 4 < 0
Calcul du discrimiant : (-7)² - 4*(4*(-6)) = 49 - 4(-24) = 49 + 96 =145
Deux solutions : x1 = (7 + √145) / -12 et x2 = (7 - √145) / -12
<=> -6(x-((7+√145)/-12)(x-((7-√145)/-12) < 0
S=]-∞;(7+√145)/-12[∪[(7-√145)/-12;+∞[
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Bonjour,
-3x(2x+4)+1 < 4-(5x+7)
-6x²-12x + 1 < 4 - 5x - 7
-6x² - 12x + 5x + 1 - 4 + 7 < 0
-6x² - 7x + 4 < 0
Calcul du discrimiant : (-7)² - 4*(4*(-6)) = 49 - 4(-24) = 49 + 96 =145
Deux solutions : x1 = (7 + √145) / -12 et x2 = (7 - √145) / -12
<=> -6(x-((7+√145)/-12)(x-((7-√145)/-12) < 0
S=]-∞;(7+√145)/-12[∪[(7-√145)/-12;+∞[