2. In the interval \(13 < x < 14\), the equation
$$3 + x \sin \left( \frac { x } { 4 } \right) = 0 , \text { where } x \text { is measured in radians, }$$
has exactly one root, \(\alpha\).
[0pt]
- Starting with the interval [13,14], use interval bisection twice to find an interval of width 0.25 which contains \(\alpha\).
[0pt] - Use linear interpolation once on the interval [13,14] to find an approximate value for \(\alpha\). Give your answer to 3 decimal places.