Question

Alpha and beta are the zeroes of a quadratic polynomial ax2+bx+c then evaluate 1/alpha+1/beta

Answer 1

$\frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \alpha + \beta }{ \alpha \beta } = \frac{ \frac{ - b}{a} }{ \frac{c}{a} } = \frac{ - b}{c}$
as you know that in a quadratic polynomial as
$a {x}^{2} + bx + c$
sum of the roots=-b/a
and,product of the roots=c/a

Answer 2

hope this answer will help you