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 Sn, = 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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a The cubic equation x3 x 3 0 can be factored as xxx 0 ...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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