Question 1 - A-Level Maths

Exam Board	AQA
Module	FP1 (Further Pure Mathematics 1)
Year	2006
Session	January
Topic	Sign Change & Interval Methods
Type	Linear Interpolation Only

Show that the equation $$x ^ { 3 } + 2 x - 2 = 0$$ has a root between 0.5 and 1 .
Use linear interpolation once to find an estimate of this root. Give your answer to two decimal places.