a+ω1+b+ω1+c+ω1+d+ω1=ω1 where, a,b,c,d, ∈ R and ω is a complex cube root of unity then find the value of ∑a2−a+11

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Question

$\frac{1}{a + ω} + \frac{1}{b + ω} + \frac{1}{c + ω} + \frac{1}{d + ω} = \frac{1}{ω}$ where, a,b,c,d, $\in$ R and $ω$ is a complex cube root of unity then find the value of $\sum \frac{1}{a ^{2} - a + 1}$

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Luna Discussed

\frac{1}{a + ω} + \frac{1}{b + ω} + \frac{1}{c + ω} + \frac{1}{d + ω} = \frac{1}{ω}

where, a,b,c,d,

\in

R and

ω

is a complex cube root of unity then find the value of

\sum \frac{1}{a ^{2} - a + 1}

7 mins ago

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Question Text

\frac{1}{a + ω} + \frac{1}{b + ω} + \frac{1}{c + ω} + \frac{1}{d + ω} = \frac{1}{ω}

where, a,b,c,d,

\in

R and

ω

is a complex cube root of unity then find the value of

\sum \frac{1}{a ^{2} - a + 1}