z^4+4=0

Input

z^4 + 4 = 0

Plot

Plot

Alternate form

(z^2 - 2 z + 2) (z^2 + 2 z + 2) = 0

Complex solutions

z = -1 - i

z = -1 + i

z = 1 - i

z = 1 + i

Roots in the complex plane

Roots in the complex plane

Sum of roots

0

Product of roots

4