-4 = 4cisπ
so, if z^4 = -4,
z = √2 cis(π/4 + kπ/2) for k=0,1,2,3
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.
1 answer
Note: All solutions should be expressed in the form $a+bi$, where $a$ and $b$ are real numbers.
1 answer
1 answer
0 answers
0 answers
0 answers