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Exercice 4: Résoudre les équations suivantes.
(a.4x+5)(x-3)=0 b. x(9x - 2)=0 c. x² +10x + 25 = 0 d. 36²x-1=0
merci d'avance ​

Sagot :

ANASAG

Réponse:

a) (4x +5)(x -3) = 0

4x +5 = 0

4x = -5

4x/4 = -5/4

x = -5/4

x -3 = 0

x = 3

L'équation a deux solutions : -5/4 ou 3.

b) x(9x -2) = 0

x = 0

9x -2 = 0

9x = 2

9x/9 = 2/9

x = 2/9

L'équation a deux solutions : 0 ou 2/9 .

c) x² +10x +25 = 0

x² + 2×x×5 +5² = 0

(x +5)² = 0

x +5 = 0

x = -5

d) 36x² -1 = 0

36x² = 1

36x²/36 = 1/36

x² = 1/36

√x² = ±√1/36

x = ±1/6

x = 1/6 ou

x = -1/6

L'équation a deux solutions : 1/6 ou -1/6 .

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