What does this "c" symbol mean? [closed]
What does this mean?
For context, the problem is $z^2+8=0$. I've come to the conclusion that $z=2i\sqrt2$, but I don't know what that $c$ thing is.
Solution 1:
I think that $\cal C$ in this context is the field Of complex numbers.
Solving an equation over a field $\mathbb F$ means finding all solutions for the equation in $\mathbb F$.
For example, your equation $x^2 + 8 = 0$ has no solution over $\mathbb R$ but it has 2 solutions over $\mathbb C$ (or $\cal C$) using the notation in your question.
Solution 2:
The complex numbers $ \ \ \ \ \ \\ \ $