Question

find the value of B if ​

Answer 1

Answer:

$b = - a( \frac{ { \alpha }^{2} + 1 }{ \alpha })$

Step-by-step explanation:

Let zeroes of the polynomial be α and β.

Then , according to question

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

We know,

$\alpha + \beta = \frac{ - b}{a} \\ \\ \alpha + \frac{1}{ \alpha } = \frac{ - b}{a}$

$\frac{ { \alpha }^{2} + 1 }{ \alpha } = \frac{ - b}{a} \\ \\ b = - a( \frac{ { \alpha }^{2} + 1 }{ \alpha })$

Hope it helps