The answer to this question is determined through the used of the equation,
( -b +/- sqrt (b² - 4ac)) / 2a
where a, b, and c are the numerical coefficients of the terms in the quadratic equation in order. Substituting the known values,
x = (-16 +/ sqrt(16² - 4(34)(2))/ 2(2)
Simplifying,
x = (-16 +/- sqrt (-4)) / 4
The answer would be,
x = -4 +/- i
The answer is letter D.