Question

if
$\alpha \: and \: \beta$
are the zeros or roots of polynomial
f(x) =
$16x { }^{2} + 4x - 5$
then
$\frac{1}{ \alpha } + \frac{1}{ \beta }$
is equal to what pls solve properly​

Answer 1

$hello \: mate$

We know that,

Sum of zeroes=-b/a

➡ Alpha+ Beta= -4/16= -1/4

Product of zeroes=c/a

➡Alpha×Beta= -5/16

Now, 1/alpha+1/beta

=alpha+beta/alpha×beta

=-1/4/÷ (-5/16)

=4/5