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(1)/(a + omega) + (1)/(b+omega) +(1)/(c ...

`(1)/(a + omega) + (1)/(b+omega) +(1)/(c + omega) + (1)/(d + omega) =(1)/(omega)` where, a,b,c,d, `in` R and `omega` is a complex cube root of unity then find the value of `sum (1)/(a^(2)-a+1)`

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