Question

If one root of polynomial is reciprocal to other find value of k ifpolynomialisx2+5x+k

Answer 1

Step-by-step explanation:

Let the roots be

$\alpha \: and \: \frac{1}{ \alpha }$

Hence product of roots is

$p = \alpha \times ( \frac{1}{ \alpha } ) = 1$

now given eqn is

${x}^{2} + 5x + k$

from the given eqn, product of roots is

$p = \frac{k}{1} ......(2)$

comparing both (1) and (2)

$\frac{k}{1} = 1 \\ k = 1$

Answer 2

Answer:

Hope this helps you ✌️✌️