The equation x 3 7x 2 + 1 = 0 has two positive roots, and

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The equation x³ − 7x²+ 1 = 0 has two positive roots, α and β, which are such that α lies between 0 and 1 and β lies between 6 and 7.

By deriving two suitable iterative formulae from the given equation, carry out suitable iterations to find the value of α and of β, giving each correct to 2 decimal places. Give the value of each of your iterations 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 28, 2023 03:23 AM

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The equation x 3 7x 2 + 1 = 0 has two positive roots, and

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Lets define the function fx x3 7x2 1 The equation x3 7x2 1 0 can be rewritten as fx 0 The two positi...View the full answer

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

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