0=1+i*z^2
You asked:
Investigate the equation: \(0 = 1 + i \cdot {z}^{2}\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}z &= - \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2} \approx -0.70710678 -0.70710678 i\\z &= \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2} \approx 0.70710678 + 0.70710678 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).