Question

if alpha and beta are the zeroes of the polynomial 3x2+8x+2=0 then find the value of alpha^-1-beta^-1​

Answer 1

Answer:

${ \alpha }^{ - 1} - { \beta }^{ - 1} = \frac{ \beta - \alpha }{ \alpha \beta }$

Also

$\large \: \alpha + \beta = \frac{ - 8}{3}$

now

$\alpha - \beta = \sqrt{\frac{58}{3}}$

hence nt putting the value

$answer \: \: comes =$

$\frac{3}{4} \sqrt{ \frac{58}{3} }$