Question

If alpha and beta are zeros of quadratic polynomial x2-5x+6 then find the value of 1/alpha^2 +1/beta^2

Answer 1

Hey dear here is ur answer,
sum of root=5
product of root=6
value of 1/a2+1/b2=
=a2+b2/(ab)2......(1)
on finding value of a2+b2=(a+b)2-2ab
a2+b2=25-12
a2+b2=13
putting this value in equation 1
=13/(6)2
=13/36
Proud to help you