Question

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8

Answer 1

`(x + 2) ^(2) = - 8`

Explanation:

`{x}^(2) + 4x + 8 = 0 \\ {x }^(2) + 4x = - 8 \\ {x}^(2) + 4x + 4 = - 8 + 4 \\ ( x + 2)^(2) = - 4`