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ifomegaa n domega^2 are the nonreal cube...

if`omegaa n domega^2` are the nonreal cube roots of unity and `[1//(a+omega)]+[1//(b+omega)]+[1//(c+omega)]=2omega^2` and `[1//(a+omega)^2]+[1//(b+omega)^2]+[1//(c+omega)^2]=2omega^` , then find the value of `[1//(a+1)]+[1//(b+1)]+[1//(c+1)]dot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  15. Find all possible values of sqrt(i)+sqrt(-i)dot.

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