a. On the same axes, sketch the graphs of y = x and y = 2/3. b.
Question:
a. On the same axes, sketch the graphs of y = √x and y = 2/3.
b. With reference to your sketch, explain why the equation √x = 2/x has exactly one real root.
c. Given that f(x) = √x − 2/x , show that the equation f(x) = 0 has a root r, where 1 < r < 2.
d. Show that the equation √x = 2/x may be written in the form xp = q, where p and q are integers to be found.
e. Hence write down the exact value of the root of the equation √x − 2/x = 0.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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