The cubic equation x 3 + ax 2 + bx + a = 0 has roots ,

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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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