Question

answer the following question​

Answer 1

Answer:

-b/c

Step-by-step explanation:

we know that

sum of the roots(@+b)=-b/a

and

product of the roots (@b)=c/a

thus,

1/@+1/b

=>(b+@)/@b

=>-b/a/c/a

=>-b/c. (Answer)

=>-(coefficient of x)/constant term

Answer 2

Answer:

∴ 1/α + 1/β = -b/c

Step-by-step explanation:

Given,

f(x) = ax²+bx+c

If α and β are two zeros of the polynomial f(x) = ax²+bx+c.

Then, α+β = -b

          αβ = c

Now,

1/α + 1/β = (β+α)/αβ

             = (α+β)/αβ

             = -b/c