Let A be a real number. Then the roots of the equation $$x^2 - 4x - log_{2}{A} = 0$$ are real and distinct if and only if

A

$$A > \frac{1}{16}$$

B

$$A < \frac{1}{16}$$

C

$$A < \frac{1}{8}$$

D

$$A > \frac{1}{8}$$