If , where , then can take the…

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Number and Algebra · Number and Algebra

Problem

iz^4 + 1 = 0

, where

i = \sqrt{-1}

, then

z

can take the value (1)

\frac{1+i}{\sqrt{2}}

(2)

\cos\left(\frac{\pi}{8}\right) + i \sin\left(\frac{\pi}{8}\right)

(3)

\frac{1}{4i}

(4)

i