Respuesta :

Answer:

B

Step-by-step explanation:

Given

11 - 4x = (3x - 2)² + 1 ← expand the squared factor using FOIL

11 - 4x = 9x² - 12x + 4 + 1, that is

11 - 4x = 9x² - 12x + 5 ( add 4x to both sides )

11 = 9x² - 8x + 5 ( subtract 11 from both sides )

0 = 9x² - 8x - 6 or

9x² - 8x - 6 = 0 → B

Answer:

9x² - 8x - 6 = 0

Step-by-step explanation:

11 - 4x = (3x - 2)² + 1

FOIL the (3x - 2)².

(3x - 2)² = (3x - 2)(3x - 2) = 9x² - 12x + 4

Rewrite the Equation.

11 - 4x = 9x² - 12x + 4 + 1

Move all to one side and combine like terms.

9x² - 8x - 6 = 0