Complex Numbers - Applying the Conjugate Root Theorem
Complex Numbers - Applying the Conjugate Root Theorem
Given that the equation \(z^{4}-3z^{3}+8z^{2}-7z+5=0\) has a root \(1-2\mathbf{i}\), solve the equation.
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Answer:\(z=1\pm2\mathbf{i}\) or \(z=\dfrac12\pm\dfrac{\sqrt3}{2}\mathbf{i}\)
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