Résoudre dans R, l’équation (3X+1)au carré -16=0.
Merci (c’est l’expression 3X+1 tout entière qui est au carré).

By: USER9182
26 Agustus 2025 mathematiques 5 minutes
4.5
118 views 118 comments 13 shares

Question

Grade: Education Subject: mathematiques
Résoudre dans R, l’équation (3X+1)au carré -16=0.
Merci (c’est l’expression 3X+1 tout entière qui est au carré).
Asked by:
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Answer (118)

Best Answer
(225)
Bonjour,

(3x + 1)² - 16 = 0

⇔ (3x + 1)² - 4² = 0

⇔ [(3x + 1) - 4][(3x + 1) + 4] = 0

⇔ (3x - 3)(3x + 5) = 0

⇒ 3x - 3 = 0 ou 3x + 5 = 0

⇒ x = 1 ou x = -5/3
Answered on 26 Agustus 2025
(145)
Bonsoir,

(3x+1)^2-16=0
(3x+1-4)(3x+1+4)=0
(3x-3)(3x+5)=0
3x-3=0 ou 3x+5=0
x=1 ou x=-5/3

Bon courage !
Answered on 26 Agustus 2025

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