Solve the quadratic equation by completing the square. What are the missing pieces to the steps?

–27 = 4x2 – 24x

–27 = 4(x2 – 6x)

–27 + = 4(x2 – 6x + 9)

9 = 4(x – 3)2

= (x – 3)2

± = x – 3

= x

x = 1.5, 4.5

Step-by-step explanation:

We have to solve the equation by completing the square

-27 = 4x² - 24x

-27 = 4(x² - 6x)

By adding 36 on both the sides of the equation,

-27 + 36 = 4(x² - 6x + 9)

9 = 4(x - 3)²

Divide by 9 on both the sides of the equation,

= (x - 3)²

Now we take the square root on both the side of the equation,

= (x - 3)

x = 3 ± 1.5

x = 1.5, 4.5

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.