Question

If one root of $5x^2+13x+k=0$ is reciprocal of the other, then k=

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Let first root $=\alpha$ and second root $=\frac{1}{\alpha }$

Product of roots =1
$\Rightarrow \frac{k}{5}=1\Rightarrow k=5$