If the equation $2 x^{2} + x + k = 0$ and $x^{2} + x / 2 - 1 = 0$ have two common roots then the value of k is

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-1

-2

answer is D.

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Detailed Solution

Since the given equation have two roots in common so from the condition

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}} \Rightarrow \frac{2}{1} = \frac{1}{1 / 2} = \frac{k}{- 1} ∴ k = - 2$

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