Question

Me ajudemmm, Pfvvvv​
PRECISOO URGENTEEE

Answer 1

Explicação passo-a-passo:

1)

i)

(2x + 2)/6x = (2x + 4)/(2x + 12)

(2x + 2).(2x + 12) = 6x.(2x + 4)

4x^2 + 24x + 4x + 24 = 12x^2 + 24x

4x^2 - 12x^2 + 28x - 24x + 24 = 0

-8x^2 + 4x + 24 = 0

Dividindo tudo por 4, teremos

-2x^2 + x + 6 = 0

Delta = 1^2 - 4.(-2).6 = 1 + 48 = 49

x = $\frac{-1+/-\sqrt{49}}{2.(-2)}$

x1 = $\frac{-1+7}{-4}=\frac{6}{-4}=-\frac{3}{2}$

x2 = $\frac{-1-7}{-4}=\frac{-8}{-4}=2$

Logo,

S = {$-\frac{3}{2}$, 2}

ii)

(x + 2)/x = (2x + 7)/(x + 6)

(x + 2).(x + 6) = x.(2x + 7)

x^2 + 6x + 2x + 12 = 2x^2 + 7x

x^2 - 2x^2 + 8x - 7x + 12 = 0

-x^2 + x + 12 = 0

Delta = 1^2 - 4.(-1).12 = 1 + 48 = 49

x = $\frac{-1+/-\sqrt{49}}{2.(-1)}$

x1 = $\frac{-1+7}{-2}=\frac{6}{-2}=-3$

x2 = $\frac{-1-7}{-2}=\frac{-8}{-2}=4$

S = {-3, 4}