If the roots of the quadratic equation 2x² + 3x + k = 0 are real and equal, what is the value of k?

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A. -4.5

B. -3

C. -2.25

D. 0

E. None of the above

Answer: A. -4.5

For the roots to be real and equal, the discriminant must be zero. The discriminant is given by b² - 4ac. Here, 3² - 4(2)(k) = 0 leads to k = -4.5.

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