The quadratic polynomial has zeros and that satisfy

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

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}

(b)

-\dfrac{3}{2}

(c)

-\dfrac{3}{4}

(d)

\dfrac{3}{4}