Question

if a and B are the zeroes of the polynomial X2+5x+5, find the value of a^-1+B^-1.​

Answer 1

Step-by-step explanation:

f(x)=x

2

+5x+5

Comparingfromtheabovepolynomial

wegeta=1,b=5,c=5

So,Sumofzeros=α+β=

a

−b

=5

Productofzeros=αβ=

a

c

=5

valueofα

−1

+β

−1

=

α

1

+

β

1

=

αβ

β+α

=

5

−5

=1