2025 RVHS P1 Q3

2025 RVHS P1 Q3

6 marks

Do not use a calculator in answering this question.

Find the roots of the equation \(z^2-(1+2i)z+1+7i=0\), giving your answers in the cartesian form \(a+ib\).[6]

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Answer:\(z=2-\mathrm{i}\) or \(z=-1+3\mathrm{i}\)

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