Question

Follow the process of completing the square to solve 2x^2 + 8x - 12 = 0. After adding B^2 to both sides of the equation in step 4, what is the constant on the right side of the equation?

1. -32
2. 112
3. 160

Answer 1

160

Explanation:

Answer 2

For this case we have the following equation
`2x ^ 2 + 8x-12 = 0`

To complete squares we follow the steps below:

We divide between 2 on both sides of the equation:

`x ^ 2 + 4x-6 = 0\\x ^ 2 + 4x = 6`

We divide the term by 2 and square it. We add this to both sides of the equation:

`x ^ 2 + 4x + (\frac {4} {2}) ^ 2 = 6 + (\frac {4} {2}) ^ 2\\x ^ 2 + 4x + (2) ^ 2 = 6 + 4\\x ^ 2 + 4x + (2) ^ 2 = 10\\(x + 2) ^ 2 = 10`

ANswer:

`(x + 2) ^ 2 = 10`