Réponse:
1. A = (x - 3)² - 2x² + 7x - 3
2. A = (x - 3)(-x - 2)
3. S = {-2;3}
Explications étape par étape:
1. A = (x - 3)² + (1 - 2x)(x - 3)
A = (x - 3)² + x - 3 - 2x² + 6x
A = (x - 3)² - 2x² + 7x - 3
2. A = (x - 3)² + (1 - 2x)(x - 3)
A = (x - 3)(x - 3) + (1 - 2x)(x - 3)
A = (x - 3)((x - 3) + (1 - 2x))
A = (x - 3)(x - 3 + 1 - 2x)
A = (x - 3)(-x - 2)
3. (x - 3)(-x - 2) = 0
x - 3 = 0 ou -x - 2 = 0
x = 3 ou -x = 2
x = 3 ou x = -2
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Réponse:
1. A = (x - 3)² - 2x² + 7x - 3
2. A = (x - 3)(-x - 2)
3. S = {-2;3}
Explications étape par étape:
1. A = (x - 3)² + (1 - 2x)(x - 3)
A = (x - 3)² + x - 3 - 2x² + 6x
A = (x - 3)² - 2x² + 7x - 3
2. A = (x - 3)² + (1 - 2x)(x - 3)
A = (x - 3)(x - 3) + (1 - 2x)(x - 3)
A = (x - 3)((x - 3) + (1 - 2x))
A = (x - 3)(x - 3 + 1 - 2x)
A = (x - 3)(-x - 2)
3. (x - 3)(-x - 2) = 0
x - 3 = 0 ou -x - 2 = 0
x = 3 ou -x = 2
x = 3 ou x = -2