The equation x 3 5x 7 0 has a root between 1 and 1 2 The iterative formula can be used to find the value of a Using a starting value of x 1 1 1, find and write down, correct to 4 decimal places, the value of each of x 2 , x 3 , x 4 , x 5 , x 6 b Write the value of x 6 correct to 2 decimal places an...

a We can use the iterative formula to find the value of xn for each iteration x1 11 x2 7 x135 7 1331 ...

The equation x 3 + 5x 7 = 0 has a root between 1 and

Question:

The equation x³ + 5x − 7 = 0 has a root α between 1 and 1.2.

The iterative formula

can be used to find the value of α.

a. Using a starting value of x₁ = 1.1, find and write down, correct to 4 decimal places, the value of each of x₂, x₃, x₄, x₅, x₆.

b. Write the value of x₆ correct to 2 decimal places and prove that this is the value of α correct to 2 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 03:02 AM

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The equation x 3 + 5x 7 = 0 has a root between 1 and

Question:

Xn+l 3 7-Xn 5

Step by Step Answer:

a We can use the iterative formula to find the value of xn for each iteration x1 11 x2 7 x135 7 1331...View the full answer

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

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