Question

if alpha and beta are zeroes of polynomial p (x) = 5x^2 + 5x + 1 ; then find the value of (i) alpha^2 + beta^2 (ii) alpha^-1 +beta^-1​

Answer 1

Step-by-step explanation:

5x^2+5x+1

alpha+beta=-b/a

=-5/5

=-1

alpha×beta=c/a

=1/5

(1).alpha^2+beta^2

=(alpha+beta)^2-2alpha×beta

=(-1)^2-2×1/5

=1-2/5

=3/5

(2).alpha^-1 +beta^-1

= 1/alpha+1/beta

= alpha+beta

alpha×beta

= -1

1/5

= -5