The question says, what is the number of solutions to this equation in the field of complex numbers?
The choices are
d) infinitely many
I have no clue to this one.
2. And here's another one:
For any real number x, is equal to
d) pure imaginary
Writing it in the form , we can simplify it to
Which shows that the number is not real (since no number to the power four would give -x). So +x and -x are eliminated. But what about the last two choices? What is the difference between complex and pure imaginary?