of 1+w+922 What is the value
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of 1+w+922 What is the value

JEE/Engineering Exams
Maths
Solution
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( begin{aligned} 1+omega+omega^{2} & Rightarrow omega e text { know } quad omega^{3}=1 omega^{3}-1=0 text { we } text { Also fornula }left[left(x^{3}-1right)=(x-1)left(x^{2}+x+1right)right] & text { so, } begin{aligned} w^{3}-1 &=0 text { inow } &=(w-1)left(w^{2}+w+1right)=0 & w^{2}+w+1=0 end{aligned} end{aligned} )
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