If the roots of the quadratic equation 2x² + 3x + k = 0 are real and equal, what is the value of k?
Answer: A. -4.5
For the roots to be real and equal, the discriminant must be zero. The discriminant is b² - 4ac. Here, b = 3, a = 2, and c = k. Setting 3² - 4(2)(k) = 0 gives k = -4.5.