Question

If alpha and beta is are zeroes of p(x)=x2+x-1 then find alpha2beta+alphabeta2

Answer 1

p(x) = x^2 + x - 1
let alpha be A ans beta be B
A^2B +AB^2
= AB (A + B )
= -1 ( -1) ( product of zeroes = c /a and sum ,= -b/a)
= 1 ans .