Quadratic Equation/Examples/z^4 + z^2 + 1 = 0/Illustration

Illustration of Equation $z^4 + z^2 + 1 = 0$

The roots of the quartic equation:

$z^4 + z^2 + 1 = 0$

can be depicted as follows:

Sources

• 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Polynomial Equations: $102 \ \text {(b)}$