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Year 12 Maths Extension 2 Complex Numbers

Complex Coefficients of a Polynomial

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Questions
Question 1
26295

(i) Solve \(z^2+3iz+2=0\) over the complex number field. (2 marks)

(ii) Solve \({z^2} + (4 + 2i)z + 6 + 8i = 0\) over the complex number field (3 marks)

(i) \(z = \dfrac{{ - 3i \pm i\sqrt {17} }}{2}\)

(ii) \(z = 1 + 3i\) or \(z = 3-i\)

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