(i)[3]
Use sketches of two suitable graphs to 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. Present the outcome of each iteration to $5$ decimal places.
(iii)[2]
Hence find the coordinates of each point where the graphs $y = |3x|$ and $y = 16 - x^4$ intersect, with answers correct to $3$ decimal places.