Question: Answer the following question about complex numbers: Ba. [4 marks] What are the complex square roots of the number 2 ? .................................................................................... 3b. [4 marks]

Answer the following question about complex numbers:

Ba. [4 marks] What are the complex square roots of the number 2 ? .................................................................................... 3b. [4 marks] Solve the equation 24 + 32' + 2 = Din the complex numbers. Hint: take w = 2'2 ----------------------------------------------------------------------------- Consider the polynomial p(z) = 2' + (123 + 1322 + cz + d , where all coefficients are real numbers. 4a. [3 marks] Given that 1 + i and 1 2i are roots of the equation 11(2) = 0 , what are the other two roots? Cite the important mathematical result (theorem) that justies your answer. 4b. [3 marks] Find the values of the real constants a, b, c and d

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