Bonjour pouvez m’aidez à résoudre c’est équation Merci de votre aide

Réponse :

Explications étape par étape

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x^2 - 49 = 0

x^2 - 7^2 = 0

(x - 7)(x + 7) = 0

x - 7 = 0 ou x + 7 = 0

x = 7 ou x = -7

x^2 = 100

x^2 = 10^2

x^2 - 10^2 = 0

(x - 10)(x + 10) = 0

x - 10 = 0 ou x + 10 = 0

x = 10 ou x = -10

2x^2 = 128

x^2 = 128/2

x^2 = 64

x^2 - 64 = 0

x^2 - 8^2 = 0

(x - 8)(x + 8) = 0

x - 8 = 0 ou x + 8 = 0

x = 8 ou x = -8

x^2 = 5

x^2 - 5 = 0

x^2 - (V5)^2 = 0

(x - V5)(x + V5) = 0

x - V5 = 0 ou x + V5 = 0

x = V5 ou x = -V5

x^2 - 36 + (2x + 3)(x - 6) = 0

x^2 - 6^2 + (2x + 3)(x - 6) = 0

(x - 6)(x + 6) + (2x + 3)(x - 6) = 0

(x - 6)(x + 6 + 2x + 3) = 0

(x - 6)(3x + 9) = 0

(x - 6) * 3(x + 3) = 0

3(x - 6)(x + 3) = 0

x - 6 = 0 ou x + 3 = 0

x = 6 ou x = -3

x^2 - 9 - (2x + 1)(x + 3) = 0

x^2 - 3^2 - (2x + 1)(x + 3) = 0

(x - 3)(x + 3) - (2x + 1)(x + 3) = 0

(x + 3)(x - 3 - 2x - 1) = 0

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

x + 3 = 0 ou -x - 4 = 0

x = -3 ou x = -4