(a)[2]
Show that, should the sequence defined by $x_{n+1} = \sqrt{\frac{4}{5 - 2x_n}}$ converge, its limit is a solution of $f(x) = 0$.
(b)[3]
The equation has a root near $1.2$. Using the iterative formula from part (a) and the starting value $1.2$, find the root correct to $2$ decimal places. Give each iteration to $4$ decimal places.