Bonsoir, en espérant vous avoir aidé!
Réponse :
1) 16x² - 121 = 0
a² - b² = (a - b)(a + b)
16x² = (4x)² et 121 = 11²
(4x - 11)(4x + 11) = 0
4x - 11 = 0 ou 4x + 11 = 0
4x - 11 = 0
x = 11/4
4x + 11 = 0
x = -11/4
2) x² = 169
√x² = √169
x = ±13
3) (2x - 3)(-4x - 6) = 0
2x - 3 = 0 ou -4x - 6 = 0.
2x - 3 = 0, x = 3/2
-4x - 6 = 0
x = -6/-4 = 3/2
4) x² = 9
√x² = √9
x = ±3
5) x² = -9
6)x² - 30 = 6
x² = 36
x = ±6
7) 4x + 8 = -2x - 58
6x = -66
x = -11
8) -7x + 11 = 4x + 4
11x = -7
x = -7/11
