Question

if a and bita are the zeroes of the polynomial f(x) = ax^2+bx+c then find 1\a^2+1\ bita ^2​

Answer 1

Answer:

Step-by-step explanation:

i think alpha and beta are roots

now,

1/alpha^2 +1/beta^2

let alpha denoted as @ and beta as $

=1/@^2 +1/$^2

=$^2+@^2/(@*$)^2

=[(@+$)^2-2@$]/(@*$)^2

sum of roots i.e(@+$)= -b/a

product of roots i.e (@*$)=c/a

putting  values

=(b^2-2ac)/c^2