Question

If α and β are zeros of the polynomial x²+1,then find value of α+β/(αβ)²

Answer 1

hey mate as we know,

α+β =-b/a

αβ = c/a

here a =1

b=0

c=1

α+β=-0/1

(αβ)^2=(1/1)^2

=1

α+β/(αβ)² =0/1

=0

hence,α+β/(αβ)²=0

Answer 2

Answer:

p(x)=x^2+1

sum of zeroes =1/1=1

product of zeroes =0/1=0

according to question

(alpha +beta)/(alpha.beta)^2

1/(0)^2

1/0

undefined..

hope it may help u