The roots of the quartic x 4 2x 3 x 2 4 0 are , , , Show that S 4 9S 3 ...

We can solve for these roots in three cases xy0 ...

The roots of the quartic x 4 - 2x 3 + x 2 - 4 = 0

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The roots of the quartic x⁴ - 2x³ + x² - 4 = 0 are α, β, γ, δ. Show that S₄ = 9S₃.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 23, 2021 02:15 AM

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The roots of the quartic x 4 - 2x 3 + x 2 - 4 = 0

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Cambridge International AS & A Level Further Mathematics Coursebook

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