17.
$$f ( x ) = 2 ^ { x } + x - 4$$
The equation \(\mathrm { f } ( x ) = 0\) has a root \(\alpha\) in the interval [1,2].
Use linear interpolation on the values at the end points of this interval to find an approximation to \(\alpha\).
[0pt]
[*P4 June 2004 Qn 2]