Укажите все комплексные корни уравнения \(z^4+81=0.\) \(\frac{3}{\sqrt{2}}+\frac{3}{\sqrt{2}}i\) \(\frac{3}{\sqrt{2}}-\frac{3}{\sqrt{2}}i\) \(-\frac{3}{\sqrt{2}}+\frac{3}{\sqrt{2}}i\) \(-\frac{3}{\sqrt{2}}-\frac{3}{\sqrt{2}}i\) \(-3i\) \(3i\) \(3+i\) \(3-i\)

Задание

Укажите все комплексные корни уравнения \(z^4+81=0.\)

\(\frac{3}{\sqrt{2}}+\frac{3}{\sqrt{2}}i\)
\(\frac{3}{\sqrt{2}}-\frac{3}{\sqrt{2}}i\)
\(-\frac{3}{\sqrt{2}}+\frac{3}{\sqrt{2}}i\)
\(-\frac{3}{\sqrt{2}}-\frac{3}{\sqrt{2}}i\)
\(-3i\)
\(3i\)
\(3+i\)
\(3-i\)