Réponse :
Explications étape par étape
Bonjour
Résoudre
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 = 4/9
x^2 - 4/9 = 0
x^2 - (2/3)^2 = 0
(x - 2/3)(x + 2/3) = 0
x - 2/3 = 0 ou x + 2/3 = 0
x = 2/3 ou x = -2/3
x^2 - 1/4 = 0
x^2 - (1/2)^2 = 0
(x - 1/2)(x + 1/2) = 0
x - 1/2 = 0 ou x + 1/2 = 0
x = 1/2 ou x = -1/2
x^2 + 3 = 2
x^2 + 3 - 2 = 0
x^2 + 1 = 0
x^2 = -1 < 0 donc pas de solution un carré n’est jamais négatif
5x^2 = 125
5x^2 - 125 = 0
5(x^2 - 25) = 0
5(x^2 - 5^2) = 0
5(x - 5)(x + 5) = 0
x - 5 = 0 ou x + 5 = 0
x = 5 ou x = -5
3x^2 = 1/3
x^2 = 1/9
x^2 - 1/9 = 0
x^2 - (1/3)^2 = 0
(x - 1/3)(x + 1/3) = 0
x - 1/3 = 0 ou x + 1/3 = 0
x = 1/3 ou x = -1/3
