Let a,b,c be complex numbers satisfying
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?
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?