Notice (x+4)2 = x2 + 8x +16 which differs from the question by a constantSo we can write: x2 + 8x + 3 = (x+4)2 - 13
(x+4)2 -13 = 0
(x+4)2 = 13 (by adding 13)
x+4 = +-sqrt(13) (square root remembering to include the +-)
x = -4 +-sqrt(13) (subtracting 4)
So we have answers of:
x = - 4 + sqrt(13)
x = - 4 - sqrt(13)
which can both be checked by substitution into the or
