Question

if a and 1/a are the zeroes of the poly. 4x^-2x+(k-4),find the value of k.

Answer 1

x = a
and
x = 1/a

so the factors are (x-a)(ax - 1)

let's FOIL

ax^2 - x - a^2x + a

ax^2 - x - a^2x + a = 4x^2 - 2x+ k - 4

ax^2 = 4x^2

therefore a = 4

a = k - 4

4 = k - 4

therefore k = 0

that right?

Answer 2

ya