1) The quadratic equations x^2 - 6x + 2k = 0 and x^2 - 5x + k =0 have a common root α. (i.e. α is a root of both equations.)
Show that α =k and hence, find the value(s) of k.
2) Let p = (x^2 + 2x + 8)/(x - 2) …………………………(*)
where x is real. By expressing (*) in the form ax^2 + bx + c = 0,
find the range of possible values of (x^2 + 2x + 8)/(x - 2).
Hence, find the range of possible values of ∣(x^2 + 2x + 8)/(x - 2)∣.