If `1/(a+omega)+1/(b+omega)+1/(c+omega)+1/(d+omega)=1/omega` where `a,b,c,d in R and omega`

207 views · Published 13 October 2018 · 3:20 · Indexed 25 September 2026

Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW If  `1/(a+omega)+1/(b+omega)+1/(c+omega)+1/(d+omega)=1/omega` where  `a,b,c,d in R  and omega`  is cube root of unity then show that  `sum 1/(a^2-a+1)=1`.

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