The complex axis of a quadratic equation - Z not y
I've found a minor bug about the complex axis in Geogebra. I filled in the function:
f(x) = x^2+1.
Its the same for all ax^2+bx+c functions, but this is the most simple one. I wanted to find the roots. Of course with the Root command, you will just get the "undefined" output. But later i found the fantastic command ComplexRoot(). Then i got the complex roots: 0+i and 0-i. When i tried to visualize the ComplexRoots in the 2D graphics, the roots got placed one unit in both directions along the y-axis. Which is of course wrong, the z axis is the complex axis, because of this i tried to find a sloution.
There is nothing on the internet, so i decided to try to fix it myself. After 5 hours of work and research, I finally managed to display the complex roots along the third axis.
I did this by finding the exact X and Y coordinates of the "Complex roots", then i plotted that in as the X and Z coordinates for two actual Complex Roots. I simply called them C_1 and C_2.
If you want to see this amazing masterpiece, the file is below.
I would like to know if you think im wrong, and if so, how. If you dont understand something of it, please do ask me.