The discriminant (d) of the equation expressed as ax² + bx + c = 0 may be calculated by,
d = b² - 4ac
Simplifying the equation, -2x² - 8x + 5 = 0. Substituting the known values,
d = (-8)² - 4(-2)(5) = 104
The answer is letter B. The discriminant is greater than 0, so there are two real roots.