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MrDoudou903
@MrDoudou903
April 2019
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Vous pouvez m'aider s'il vous plaît.
On considère l'expression :
E = (2x + 3)(4 - x) + 7x(2x + 3)
1) Factoriser cette expression par (2x + 3)
2) Résoudre l'équation E = 0
Merci de votre aide.
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Bonjour
1) E = (2x + 3)(4 - x) + 7x(2x + 3)
= (2x + 3)[(4 - x) + 7x]
= (2x + 3)(4 - x + 7x)
= (2x + 3)(4 + 6x)
2) E = 0
(2x + 3)(4 + 6x) = 0
2x + 3 = 0 ou 4 + 6x = 0
2x = -3 ou 6x = -4
x = -3/2 ou x = (-4)/6
x = -3/2 ou x = -2/3
1 votes
Thanks 2
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1) E = (2x + 3)(4 - x) + 7x(2x + 3)
= (2x + 3)[(4 - x) + 7x]
= (2x + 3)(4 - x + 7x)
= (2x + 3)(4 + 6x)
2) E = 0
(2x + 3)(4 + 6x) = 0
2x + 3 = 0 ou 4 + 6x = 0
2x = -3 ou 6x = -4
x = -3/2 ou x = (-4)/6
x = -3/2 ou x = -2/3