6. (a) Given that k is a positive constant such that 0
(i) y=(2x-k)(x + 4)²
(ii) y = k/x ²
showing the coordinates of any points where the graphs cross or meet the coordinate axes, leaving coordinates in terms of k, where appropriate.
(b) State, with a reason, the number of roots of the equation: (1 Mark)
(2x-k)(x+4)²=k/x ²
(Edexcel IAL Oct 2022 - P1 Mathematics)
