Find all complex numbers $z$ such that $z^4 = -4.$ Note: All solutions should be expressed in the form $a+bi$, where $a$ and $b$ are real numbers.
This has been answered multiple times in the last few months ....do a search for it for the methodology and answers....
Taking the fourth root of both sides with some simple algebra gets \(-1-i, -1+i, 1-i, 1+i.\)