Answer:
A
Step-by-step explanation:
Completing the square requires a quadratic in [tex]ax^2+bx=c[/tex] form. Once in this form, calculate [tex](\frac{b}{2})^2[/tex].
Here x2 - 2x - 8 = 0 converts to x2 - 2x = 8. So b = -2.
[tex](\frac{b}{2})^2=(\frac{-2}{2})^2=1[/tex]
Add 1 to both sides.
x2 - 2x + 1 = 8 + 1
(x -1)^2 = 9
Square root both sides.
x-1 = 3 x - 1 = -3
x = 4 x = -2
This is the solution.