Given that $1-3\mathbf{i}$ is a root of the equation \(z^{3}-\left( 7+\mathbf{i} \right)z^{2}

Question

Given that $1-3\mathbf{i}$ is a root of the equation $z^{3}-\left( 7+\mathbf{i} \right)z^{2}+\left( 31-8\mathbf{i} \right)z-31+33\mathbf{i}=0$, find the other roots of the equation.

Accepted Answer

$z=4+5\mathbf{i}\ \text{or}\ 2-\mathbf{i}$

Complex Numbers - Finding Roots of Equations with Complex Coefficients

Complex Numbers - Finding Roots of Equations with Complex Coefficients

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