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