Question

If the sum of the roots of the equation is equal to their product, then the value of k is
(a)
(b)
(c)
(d)

Answer 1

(d) $\frac{-2}{3}$
$$\begin{gathered} \text{Given:} \\ k{x}^2+2x+3k=0 \\ \text{Sum of the roots = Product of the roots} \\ \text{⇒}\frac{-2}{k}=\frac{3k}{k} \\ \text{⇒ 3}k=-2 \\ \text{⇒}k=\frac{-2}{3} \end{gathered}$$