The cubic equation x 3 5x 2 1 0 has roots , , a Find the values of S 1 and S 3 Another cubic equation has roots 2 , 2 , 2 b Find the cubic equation with these roots c Hence, or otherwise, determine the result of S 6 ...

a The equation has roots 1 1 1 2 and 1 3 We have from the table of coefficients S1 1 from first colu ...

The cubic equation x 3 5x 2 + 1 = 0 has roots , , .

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The cubic equation x³ – 5x² + 1 = 0 has roots α, β, γ.

a. Find the values of S₁ and S₃.

Another cubic equation has roots α², β², γ².

b. Find the cubic equation with these roots.

c. Hence, or otherwise, determine the result of S₆.

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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 24, 2021 12:51 AM

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The cubic equation x 3 5x 2 + 1 = 0 has roots , , .

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a The equation has roots 1 1 1 2 and 1 3 We have from the table of coefficients S1 1 from first colu...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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