The discriminant of a quadratic equation is useful in determining the nature of its roots. Further, it can be solved by the equation,
D = b² - 4ac
From the given equation, b = 3, a = 2, and c = -5. Substituting the given to the equation,
D = 3² - (4)(2)(-5) = 49
Thus, the answer is the fourth choice, 49.