Question

Urgente!!! 100 pontos
1) Resolva a equação usando fatoração:

2x² - 24x + 72
--------------------- = 8
3x-18

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left[\dfrac{2x^2 - 24x + 72}{3x - 18}\right] = 8}$

$\mathsf{\left[\dfrac{2\:.\:(x^2 - 12x + 36)}{3\:.\:(x - 6)}\right] = 8}$

$\mathsf{\left[\dfrac{2\:.\:(x^2 - 12x + 6x - 6x + 36)}{3\:.\:(x - 6)}\right] = 8}$

$\mathsf{\left[\dfrac{2\:.\:(x^2 -6x - 6x + 36)}{3\:.\:(x - 6)}\right] = 8}$

$\mathsf{\left[\dfrac{2\:.\:[\:x(x -6) - 6(x - 6)\:]}{3\:.\:(x - 6)}\right] = 8}$

$\mathsf{\left[\dfrac{2\:.\:(x - 6)(x - 6)}{3\:.\:(x - 6)}\right] = 8}$

$\mathsf{2x - 12 = 24}$

$\mathsf{2x = 36}$

$\boxed{\boxed{\mathsf{x = 18}}}$