The equation x 4 1 x = 0 has a root, , between x =

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The equation x⁴ − 1 − x = 0 has a root, α, between x = 1 and = 2.

a. Show that α also satisfies the equation

b. Write down an iterative formula based on the equation in part a.
c. Use your iterative formula, with a starting value of x₁ = 1.5, to find α correct to 2 decimal places. Give the result of each iteration to 4 decimal places.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Mar 24, 2023 02:02 AM

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The equation x 4 1 x = 0 has a root, , between x =

Question:

X = 41+x-

Step by Step Answer:

a To show that also satisfies the equation x 41 x we can substitute into both sides of the equation ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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