Complex Numbers - Applying the Conjugate Root Theorem

Complex Numbers - Applying the Conjugate Root Theorem

Given that the equation \(2{{z}^{4}}+11{{z}^{3}}+26{{z}^{2}}+16z-16=0\) has a root \(-2+2\mathbf{i}\), find the remaining roots of the equation.

Solution:

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Answer:\(-2-2\mathrm i,\frac12,-2\).

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