2 The equation \(x ^ { 3 } - 8 x - 13 = 0\) has one real root.
- Find the two consecutive integers between which this root lies.
- Use the iterative formula
$$x _ { n + 1 } = \left( 8 x _ { n } + 13 \right) ^ { \frac { 1 } { 3 } }$$
to determine this root correct to 2 decimal places. Give the result of each iteration to 4 decimal places.