Question

Alguém resolve?
a) x ∙ (x + 6) = 0
b) 2x ∙ (x - 2) = 0
c) -x ∙ (2x - 8) = 0
d) x ∙ (x² - 9) = 0
e) x ∙ (x - 3) ∙ (x + 2) = 0​

Answer 1

Resposta:

a) x₁= -6 , x₂ = 0

b) x₁= 0 , x₂ = 2

c) x₁= 0 , x₂ = 4

d) x₁= -3 , x₂ = 0, x₃ = 3

e) x₁= -2, x₂ = 0, x₃ = 3

Explicação passo a passo:

a)

x= 0

x + 6= 0

x = 0

x = -6

x₁= -6 , x₂ = 0

b)

2x . (x - 2) = 0

x .(x - 2)= 0

x= 0

x - 2 = 0

x= 0

x= 2

x₁= 0 , x₂ = 2

c)

- x . (2x - 8)= 0

x . (2x - 8) = 0

x= 0

2x - 8 = 0  

x= 0

x= 4

x₁= 0 , x₂ = 4

d)

x. (x² - 9) = 0

x= 0

x² - 9 = 0

x = 0

x = -3

x = 3

x₁= -3 , x₂ = 0, x₃ = 3

e)  

x . (x - 3) . ( x + 2) = 0

x = 0

x - 3 = 0

x + 2 = 0

x = 0

x = 3

x = -2

x₁= -2, x₂ = 0, x₃ = 3