The roots of the quartic equation x 4 - 4x 3 + 3x 2 4x +
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The roots of the quartic equation x4 - 4x3 + 3x2 – 4x + 1 = 0 are α, β, γ and δ.
Find the values of
Using the substitution y = x + 1, find a quartic equation in y. Solve this quartic equation and hence find the roots of the equation x4 + 4x3 + 2x2 - 4x + 1 = 0.
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ANSWER To find the value of A we note that the sum of the roots of the quartic equat...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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