- In the interval \(2 < x < 3\), the equation
$$6 - x ^ { 2 } \cos \left( \frac { x } { 5 } \right) = 0 , \text { where } x \text { is measured in radians }$$
has exactly one root \(\alpha\).
[0pt]
- Starting with the interval [2,3], use interval bisection twice to find an interval of width 0.25 which contains \(\alpha\).
[0pt] - Use linear interpolation once on the interval [2,3] to find an approximation to \(\alpha\). Give your answer to 2 decimal places.