w and w^2 are complex cube roots of unity

If (a+w )^(-1) + (b+w )^(-1) + (c+w )^(-1) + (d+w)^(-1) = 2 w^2 and ( a + w^2 )^(-1) + ( b + w^2 )^(-1) + ( c + w^2 )^(-1)+(d + w^2 )^(-1) = 2 w

find sigma(abc)

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## Comments

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TopNewest@incredible mind Are a,b and c real numbers??

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(a+x)^-1+(b+x)^-1+(c+x)^-1=2/x isimilar to both the equations (x=w,w^2). Now when u will take the lcm and cross multiply both sides u will find that 1 is also a solution of the given equatuon. Maybe the that might help

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