Question

$x^{2} -16x+36=(x-6)$

Answer 1

x² - 16 x + 36 = x - 16
x² - 16 x + 36 - x + 16 = 0
x² - 16   - x + 36 + 16 = 0
x²  - 17 x + 52 = 0
Δ = b² - 4.a.c
Δ = (-17)² - 4.1 .52
Δ = 289 - 208
Δ = 81 ⇒√81 = 9
x = - b + ou - 9/2.1
x = -(-17) + 9/2
x´= 17 + 9/2 ⇒26/2  = 13
x´´ = 17 - 9/2 ⇒ 8/2 = 4
S = {13 ; 4 }