You are given that the equation x 3 + ax 2 + bx + c = 0

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You are given that the equation x³ + ax² + bx + c = 0 has three real roots and that these roots are consecutive terms in an arithmetic progression. Show that 2a³ + 27c = 9ab.

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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 09, 2023 06:50 AM

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You are given that the equation x 3 + ax 2 + bx + c = 0

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Let x1 x2 and x3 be the three real roots of the equation We ...View the full answer

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

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