Question

Select the correct answer.

Solve the equation using the method of completing the square.
2x^2 + 163 - 8 = 0

Answer 1

D

Explanation:

`2x^2+16x-8=0`

Simplify:

`x^2+8x=4`

Rewrite in the form
`(x+a)^2=b`:

`x^2+8x=4`

Add
`4^2` to both sides:

`x^2+8x+4^2=4+4^2`

`x^2+8x+4^2=20`

`\left(x+4\right)^2=20`

`x+4=√(20)` or
`x+4=-√(20)`

x = -4±
`√(20)`

x= -4±
`2√(5)`