The cubic equation x 3 3x 2 1 0 has roots , , Show that the cubic equation with roots 2 , 2 , 2 is y 3 3y 2 9y 3 0 Hence, determine the values of a ( 2)( 2)( 2) b 2 2 2 ...

Solution a 2 2 2 The roots of the cubic equa ...

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

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The cubic equation x³ + 3x² - 1 = 0 has roots α, β, γ. Show that the cubic equation with roots α + 2/α, β + 2/β, γ + 2/γ is y³ – 3y² – 9y + 3 = 0. Hence, determine the values of:

a. (α + 2)(β + 2)(γ + 2)/αβγ

b. α/α + 2 + β/β + 2 + γ/γ + 2

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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 + 3x 2 - 1 = 0 has roots , , .

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Solution a 2 2 2 The roots of the cubic equa...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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