(i)[3]
By sketching an appropriate pair of graphs, show that the equation $|3x| = 16 - x^4$ has two real roots.
(ii)[3]
Use the iterative formula $x_{n+1} = \sqrt[4]{(16 - 3x_n)}$ to determine one of the real roots correct to 3 decimal places. Show each iteration result to 5 decimal places.
(iii)[2]
Hence determine the coordinates of each intersection point of the graphs $y = |3x|$ and $y = 16 - x^4$, giving your answers correct to 3 decimal places.