If one of the roots of the equation is

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If one of the roots of the equation

2x^2 - 6x + k = 0

\frac{\alpha + 5i}{2}

, then the value of

\alpha

and

k

are : (a)

\alpha = 3, k = 8

(b)

\alpha = \frac{3}{2}, k = 17

(c)

\alpha = -3, k = -17

(d)

\alpha = 3, k = 17