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If one root of the equation $4 x^2-2 x+k-4=0$ is the reciprocal of the other, then the value of $k$ is
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The correct answer is:
$8$
$4 x^2-2 x+K-4=0$
Roots are $\alpha$ and $\frac{1}{\alpha}$
$\therefore \quad \alpha \cdot \frac{1}{\alpha}=\frac{K-4}{4} \Rightarrow 1=\frac{K-4}{4} \Rightarrow K=8 .$
Roots are $\alpha$ and $\frac{1}{\alpha}$
$\therefore \quad \alpha \cdot \frac{1}{\alpha}=\frac{K-4}{4} \Rightarrow 1=\frac{K-4}{4} \Rightarrow K=8 .$
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