| Exam Board | Edexcel |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Session | Specimen |
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| Topic | Sign Change & Interval Methods |
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| Type | Linear Interpolation Only |
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4.
$$f ( x ) = 2 ^ { x } - 6 x$$
The equation \(\mathrm { f } ( x ) = 0\) has a root \(\alpha\) in the interval [4,5].
Using the end points of this interval find, by linear interpolation, an approximation to \(\alpha\).