(i)[2]
Verify by calculation that the $x$-coordinate of $P$ is between $1.4$ and $1.6$.
(ii)[2]
Show that the $x$-coordinate of $P$ obeys the equation $\displaystyle x = \sqrt{\frac{6}{x + 1}}$.
(iii)[3]
Use the iterative formula $\displaystyle x_{n+1} = \sqrt{\frac{6}{x_n + 1}}$, starting from $x_1 = 1.5$, to find the $x$-coordinate of $P$ correct to $2$ decimal places. State each iteration to $4$ decimal places.