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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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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