x 2 14x + 1 = (x + p) 2 + q, where p and q

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x² − 14x + 1 = (x + p)² + q, where p and q are constants.

a. Find the values of p and q.

b. Using your answer to part a, or otherwise, show that the solutions to the equation x² − 14x + 1 = 0 can be written in the form r ± s√3 , where r and s are constants to be found.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Question Posted: Jul 11, 2023 03:43 AM

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x 2 14x + 1 = (x + p) 2 + q, where p and q

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Lets compare the given equation x2 14x 1 x p2 q with the standard form of a quadratic equation ax2 ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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