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Antho71718
@Antho71718
April 2019
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Equation de produit nul :
(4x+5)² -(x-8)² = 0
Merci d'avance !
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Lolita2707
Verified answer
(4x+5)^2-(x-8)^2
Tu marques que c'est a^2-b^2=(a-b)(a+b)
Donc
(4x+5)^2-(x-8)^2=0
(4x+5-(x-8))(4x+5+(x-8))=0
(4x+5-x+8)(4x+5+x-8)=0
(3x+13)(5x-3)=0
Si tu dois le développer tu trouveras :
15x^2 -9x + 65x - 39 = 0
15x^2 + 56x - 39 = 0
Sinon, si tu dois trouver x, tu fais :
(3x+13)(5x-3)=0
(3x+13)=0 ou (5x-3)=0
3x=-13 ou 5x=3
X=-13/3 ou x=3/5.
En remplaçant par x (dans les deux cas) tu trouveras 0 ;)
2 votes
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Equation avec fraction : 1/3 (6x-4) + 16/3=5x-(4-3x) Merci d'avance !
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Verified answer
(4x+5)^2-(x-8)^2Tu marques que c'est a^2-b^2=(a-b)(a+b)
Donc
(4x+5)^2-(x-8)^2=0
(4x+5-(x-8))(4x+5+(x-8))=0
(4x+5-x+8)(4x+5+x-8)=0
(3x+13)(5x-3)=0
Si tu dois le développer tu trouveras :
15x^2 -9x + 65x - 39 = 0
15x^2 + 56x - 39 = 0
Sinon, si tu dois trouver x, tu fais :
(3x+13)(5x-3)=0
(3x+13)=0 ou (5x-3)=0
3x=-13 ou 5x=3
X=-13/3 ou x=3/5.
En remplaçant par x (dans les deux cas) tu trouveras 0 ;)