Question

34. If A and B are the zeros of the polynomial x2 + x +1 , then 1/A + 1/B is​

Answer 1

Answer:

Given polynomial ; x2+x+1

Here a=1, b=1, c=1

Let α = A and β = B

now since α + β = -b/a = -1/1 = -1

→ A + B = -1

and αβ = c/a = 1/1 = 1

AB = 1

Then 1/A + 1/B

taking LCM

= A+B/AB

= -1/1

= -1