Question

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

Answer 1

i think the 4 wasn't distributed correctly. it should be one of the first steps.

Answer 2

We can find out the missing pieces by the below explanation,

Here, the given equation,

`-27 = 4x^2 - 24x`

Step 1 :

`-27=4(x^2-6x)`

Step 2 :

`-27+36=4(x^2-6x+9)`

Step 3 :

`9=4(x-3)^2`

Step 4 :

`(9)/(4)=(x-3)^2`

Step 5 :

`\pm (3)/(2)=x-3`

Step 6 :

`x=3\pm (3)/(2)`