Let a,b,c be complex numbers satisfying

Question

a+b+c=abc=1
and

(ab+bc+ac)/3=(1/a^2)+(1/b^2)+(1c^2)
The sum of absolute values of all possible ab+bc+ac can be written as (√n)/m, where n and m are positive coprime integers. What is n+m?

Answer 1

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