Réponses

  • Utilisateur Brainly
2014-09-04T20:38:40+02:00
36 - (x - 6)²
= 6² - (x - 6)²
= [6 - (x - 6)][6 + (x + 6)]
= (6 - x + 6)(6 + x + 6)
(-x + 12)(x + 12)

36 - (x - 6)² = 0
(- x + 12)(x + 12) = 0
- x + 12 = 0  ou  x + 12 = 0
x = 12  ou  x = - 12

(10 - x)(x - 2) = 0
10 - x = 0  ou  x - 2 = 0
x = 10  ou  x = 2

(10 - x)(x - 2)
= 10x - 20 - x² + 2x
= - x² + 12x - 20

- x² + 12x pour x = 10
- 10² + 12 * 10
= - 100 + 120
= 120 - 100
= 20