f(x) = x 2 6x + 1 a. Show that the equation f(x) = 0 can

Question:

f(x) = x² − 6x + 1

a. Show that the equation f(x) = 0 can be written as x = √6x + 1.

b. Sketch on the same axes the graphs of y = x and y = √6x - 1.

c. Write down the number of roots of f(x).

d. d Use your diagram to explain why the iterative formula converges to a root of f(x) when x₀ = 2. f(x) = 0 can also be rearranged to form the iterative formula

e. By sketching a diagram, explain why the iteration diverges when x₀ = 10.

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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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Question Posted: Aug 17, 2023 03:09 AM

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f(x) = x 2 6x + 1 a. Show that the equation f(x) = 0 can

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n I-"x9 = 1+"x

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a x 6x 1 0 x 6x 1 x 6x 1 ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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