Quadratic Equation with Unknown Coefficients
Source:
June 7, 2009
quadratics
Problem Statement
In the equation 2x^2 \minus{} hx \plus{} 2k \equal{} 0, the sum of the roots is and the product of the roots is \minus{}3. Then and have the values, respectively:
(A)\ 8\text{ and }{\minus{}6} \qquad
(B)\ 4\text{ and }{\minus{}3}\qquad
(C)\ {\minus{}3}\text{ and }4\qquad
(D)\ {\minus{}3}\text{ and }8\qquad
(E)\ 8\text{ and }{\minus{}3}