Mathematics

Problem

The quadratic polynomial

2x^{2}-kx-3

has zeros

\alpha

and

\beta

that satisfy

\alpha+\beta=\dfrac{1}{2}\,\alpha\beta

. Determine the value of

k

. a)

\dfrac{3}{2}

-\dfrac{3}{2}

-\dfrac{3}{4}

\dfrac{3}{4}