The equation x 4 1 x = 0 has a root, , between x =
Question:
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.
Transcribed Image Text:
X = 41+x-
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a To show that also satisfies the equation x 41 x we can substitute into both sides of the equation ...View the full answer
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Related Book For
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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