Question

resolva as equações

a) × (x-2) = 2 (x+6)
b) (2x-3) (x-8)=34
c) x² - 4x + 4 =0​

Answer 1

sendo:

a)

x * (x  - 2) = 2 * (x + 6)

x² - 2x = 2x + 12

x² - 4x - 12 = 0

delta

d = 16 + 48 = 64

as raízes:

x1 = (4 + 8)/2 = 6

x2 = (4 - 8)/2 = .2

b)

(2x-3) (x-8)=34

2x² - 19x - 10 = 0

delta

d = 361 + 80 = 441

as raízes:

x1 = (19 + 21)/4 =10

x2 = (19 - 21)/4 = -1/2

c)

x² - 4x + 4 =0​

delta

d = 16 - 16 = 0

x = 4/2 = 2