Question

Brianne solved a quadratic equation. Her work is shown below, with Step 2 missing.

What could Brianne have written as the result from Step 2?

Answer 1

C

Explanation:

Pray!

Answer 2

Given:

The given quadratic equation is

`3(x+4)^(2) = 48`

or,
`(x+4)^(2) =16`

And

The roots are given:
`x = -8 , x = 0`

To find the missing step.

Let us solve the equation.

`3(x+4)^(2) = 48`

or,
`(x+4)^(2) = 16`

or,
`x^(2) +8x+16 = 16` [ eliminating 16 from both the side]

or,
`x^(2) +8x = 0`

or,
`x(x+8) = 0`

or,
`x = 0, x = -8`

Hence,

The step 2 could be
`x^(2) +8x = 0`