Answer: B. 309.
Step-by-step explanation: The discriminant of the quadratic equation 7x^2 - 13x - 5 = 0 is D = b^2 - 4ac, where a = 7, b = -13, and c = -5.
Plugging in the values, we get:
D = (-13)^2 - 4 * 7 * -5 = 169 + 140 = 309
Therefore, the answer is B. 309.