Question

(x-5)^2=1 com resolução, por favor

Answer 1

[x - 5]^2 = 1
x² - 2*5x + 25 = 1
x² - 10x + 25 - 1 = 0
x² - 10x + 24 = 0
& = [-10]² - 4*1*24
& = 100 - 96
& = 4
x1 = [- (-10) + v4] : 2*1
x1 = [10 + 2] : 2
x1 = 12/2
x1 = 6
x2 = [- (-10) - v4] : 2*1
x2 = [10 - 2] : 2
x2 = 8/2
x2 = 4
x = {6, 4}

Ou:

[x - 5]² = 1
x - 5 = v1
x1 - 5 = 1
x1 = 1 + 5
x1 = 6
x2 - 5 = -1
x2 = -1 + 5
x2 = 4
x = {4, 6} 

Answer 2

(x - 5)² = 1

(x - 5) • (x - 5) = 1

x² - 5x - 5x + 25= 1

x² - 10x + 25 - 1 = 0

x² - 10x + 24 = 0

∆= b² - 4ac

∆= ( - 10)² - 4 • 1 • 24

∆= 100 - 96

∆= 4

x= -b ± √∆ / 2a

x= - ( - 10) ± √4 / 2 • 1

x'= 10 + 2/2 = 12/2 = 6

x''= 10 - 2/2 = 8/2 = 4

S= ( 6 , 4)