Question

If one zero of 3x² + 8x +K be the reciprocal
of the other, then the value of K is =?​

Answer 1

let one zero be alpha

then oother will be 1/alpha

we know,

alpha.1/alpha=k/3

1=k/3

=k=3

Answer 2

Step-by-step explanation:

if one root is c then the other root is 1/c. Substitute c and 1/c in

$3 {x}^{2} + 8x + k = 0$

$3 {c}^{2} + 8c + k = 0$

and

$\frac{3}{ {c}^{2} } + \frac{8}{c} + k = 0 = >$

Multiply by c square then

$3 + 8c + k {c}^{2} = 0$

Compare both these equations then we get c=>3. Hope it helps you.