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Question

In the equation 2x^2 - hx + 2k = 0, the sum of the roots is 4 and the product of the roots is -3. Then h and k have the values, respectively:

Accepted Answer

Let the roots of the given equation be r and s. Then, by Vieta's Formulas, we have the following: align* h2 = r+s = 4 & h = 8 2k2 = rs = -3 & k = -3 align* Thus, our answer is 8 and -3.