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Given Sequence N O P Q Y B Z A R S H I J K L M T U V G F E W X D C What will come in place of ( ?1 Answer1 We will show that a has exactly n different roots Write z = r ′ ( cos θ) Writing in polar form the equation z n = a gives Solving this equation gives r ′ n = r and i θ n = i φ i 2 π k for k ∈ Z n − 1 In particular, Hence, we have found n distinct roots of a complex number a and we can write an explicit formula forR k f e a n c o @ b d q p s g l w x n @ b e a w k d o h r t?

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