A = 16x² - 9 - (4x*x + 4x*(-5) + 3*x + 3*(-5))
= 16x² - 9 - (4x² - 20x + 3x - 15)
= 16x² - 9 - 4x² + 17x + 15
= 12x² + 17x + 6
A = (4x)² - 3² - (4x+3) (x-5)
= (4x+3) (4x-3) - (4x+3) (x-5)
= (4x+3) (4x-3 - (x-5))
= (4x+3) (3x + 2)
A = 0
4x+3) (3x + 2) = 0
soit 4x + 3 = 0 => x = -3/4
soit 3x + 2 = 0 => x = -2/3
exo classique de brevet qui approche à grand pas !
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A = 16x² - 9 - (4x*x + 4x*(-5) + 3*x + 3*(-5))
= 16x² - 9 - (4x² - 20x + 3x - 15)
= 16x² - 9 - 4x² + 17x + 15
= 12x² + 17x + 6
A = (4x)² - 3² - (4x+3) (x-5)
= (4x+3) (4x-3) - (4x+3) (x-5)
= (4x+3) (4x-3 - (x-5))
= (4x+3) (3x + 2)
A = 0
4x+3) (3x + 2) = 0
soit 4x + 3 = 0 => x = -3/4
soit 3x + 2 = 0 => x = -2/3
exo classique de brevet qui approche à grand pas !