Determine k so that the given equation will have the stated property, and write the resulting equation:
(a) x2 + 4kx + k + 2 = 0 has one root.
(b) 4x2 −8kx−9 = 0 has one root the negative of the other.
(c) 4x2 −8kx + 9 = 0 has roots whose difference is 4.
(d) 2x2 −3kx + 5k = 0 has one root twice the other.
(e) 3x2 + (k−1)x−2 = 0 equal and opposite.
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