Let α=−1+i√32.If a=(1+α)100∑k=0α2k and b=100∑k=0α3k,then a – InterviewSolution

1.	Let α=−1+i√32.If a=(1+α)100∑k=0α2k and b=100∑k=0α3k,then a and b are the roots of the quadratic equation:
Answer» Let $α = \frac{- 1 + i \sqrt{3}}{2}$ . If $a = (1 + α) 100 \sum k = 0 α^{2 k}$ and $b = 100 \sum k = 0 α^{3 k}$ , then $a$ and $b$ are the roots of the quadratic equation:

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