2017 ACJC P2 Q1
2017 ACJC P2 Q1
4 marks
Prelims
Given that \(1+\mathbf{i}\) is a root of the equation \({{z}^{3}}-4(1+\mathbf{i}){{z}^{2}}+(-2+9\mathbf{i})z+5-\mathbf{i}=0\), find the other roots of the equation.[4]
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Answer:\(z=3+2\mathbf{i}\ \text{or}\ \mathbf{i}\)
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