The cubic equation x 3 x 3 0 has roots , , a Using the relation S n , n n n , or otherwise, find the value of S 4 b By considering S 1 and S 4 , determine the value of 3 ( ) 3 ( ) 3 ( ) ...

a The cubic equation x3 x 3 0 can be factored as xxx 0 ...

The cubic equation x 3 - x + 3 = 0 has roots , , . a.

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The cubic equation x³ - x + 3 = 0 has roots α, β, γ.

a. Using the relation S_n, = αⁿ + βⁿ + γⁿ, or otherwise, find the value of S₄.

b. By considering S₁ and S₄, determine the value of α³(β + γ) + β³(α + γ) + γ³(α + β).

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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 cubic equation x 3 - x + 3 = 0 has roots , , . a.

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Cambridge International AS & A Level Further Mathematics Coursebook

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