Final answer:
The discriminant of the quadratic equation 0 = 2x^2 + 3x - 5 is found using the formula b^2 - 4ac. Upon calculation, it should be 49. However, this value does not match any of the given options, indicating a possible error in the question or options.
Step-by-step explanation:
The discriminant of a quadratic equation of the form ax2 + bx + c = 0 is given by the formula b2 - 4ac. For the equation 0 = 2x2 + 3x - 5, the coefficients are a = 2, b = 3, and c = -5. To find the discriminant, we plug in these values:
- b2 - 4ac
- (3)2 - 4(2)(-5)
- 9 - (-40)
- 9 + 40
- 49
Thus, the discriminant is 49, which indicates that the equation will have two distinct real solutions. However, this value is not listed in the provided options, so it appears there has been a mistake either in the calculation or in the available options provided for the question.