Question

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

• A. $\frac{1}{6}$
• B. $5$
• C. $0$
• D. $6$

Answer 1

The correct option is B

$5$

Given: $5x^2+13x+k=0$

Product of the roots is $1$ as the roots are reciprocal of each other.

i.e., $\frac{k}{5}=1$

$\Rightarrow k=5$