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

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

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\Rightarrow \frac{2}{1}=\frac{1}{1/2}=\frac{k}{-1}\therefore k=-2$