g(x) = x 2 3x 5 a. Show that the equation g(x) = 0 can
Question:
g(x) = x2 − 3x − 5
a. Show that the equation g(x) = 0 can be written as x = √3x + 5.
b. Sketch on the same axes the graphs of y = x and y = √3x+ 5.
c. Use your diagram to explain why the iterative formula xn + 1 = √3xn + 5 converges to a root of g(x) when x0 = 1. g(x) = 0 can also be rearranged to form the iterative formula
d. With reference to a diagram, explain why this iterative formula diverges when x0 = 7.
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Related Book For 
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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