The equation In x 2 - 6/2 = x - 5 has a root , such that
Question:
The equation In x2 - 6/2 = x - 5 has a root α, such that p < α <q, where p and q are consecutive integers.
a. Show that α also satisfies the equation x = ln x + 2.
b. Find the value of p and the value of q.
c. Use the iterative formula based on the equation in part a with starting value x = p, to find the value of α correct to 3 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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