If the quadratic equation 2x^2 + 3x + c = 0 has roots that are equal, what is the value of c?

Answer: A. -1.5
For equal roots, the discriminant must be zero: b^2 - 4ac = 0. Here, 3^2 - 4(2)(c) = 0 leads to 9 - 8c = 0, thus c = 9/8 = 1.125.
Posted in:  Quadratic Equations -  Algebra -  Mathematics