2010013412 | math4u.vsb.cz

SubArea:

Powers and roots of complex numbers

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Project ID:

2010013412

Source Problem:

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Which of the given numbers does not belong to the solution set of the following equation?

x^{4} - 1 + i = 0

\sqrt[8]{2} (\cos \frac{3 π}{16} + i \sin \frac{3 π}{16})

- \sqrt[4]{1 - i}

- i \sqrt[4]{1 - i}

\sqrt[8]{2} (\cos (- \frac{π}{16}) + i \sin (- \frac{π}{16}))