The cubic equation x 3 + ax 2 + bx + a = 0 has roots ,
Question:
The cubic equation x3 + ax2 + bx + a = 0 has roots α, β, γ, and the constants a, b are real and positive.
a. Find, in terms of a and b, the values of Σα and Σ1/α.
b. Given that Σα = Σ1/α, does this cubic equation have complex roots? Give a reason for your 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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