Answer:
x = -8 ± √62
Step-by-step explanation:
An equation needs an equals sign. I assume the expression equals zero?
x² + 16x + 2 = 0
To complete the square, start by making the leading coefficient 1 (which it already is).
Next, take half of the b coefficient, square it, and add the result to both sides.
(16/2)² = 8² = 64
x² + 16x + 64 + 2 = 64
Factor the perfect square:
(x + 8)² + 2 = 64
Solve for x:
(x + 8)² = 62
x + 8 = ±√62
x = -8 ± √62
