Question

if alpha and beta are zeroes of polynomial p(x) = x2 +-4x + n then find the value of 1/alpha2 - 1/beta 2

Answer 1

Answer is given in the pic.

Answer 2

f(x)

x x+1

a = 1

b 1

C=l

d and ß are the zeroes of above polynomial.

b

. Sum of roots =

a+B=

a+B=-1+(1)

Product of roots =

aß

aß=1(2)

+a

aß

From cu (1) & (2). we have

Hence,-1 is the correct answer.