What are you supposed to do with:Hello, could anyone help with this problem: z4=−4? I got to *work shown below*, before realizing that I would just get the same equation I started with
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The number −4 has four complex fourth roots.Hello, could anyone help with this problem: z4=−4? I got to *work shown below*, before realizing that I would just get the same equation I started with
Presumably you mean, take the square root of both sides without changing the solution set. Words matter.Ok. I have one more question - if I know that (z2)2=(−2i)2 can I square root the whole equation without changing the value?
No, you can't just take the square root of 2. It would have to be z=2i,z=−2i. Do you see the difference? And do you know the square root(s) of i?Ok...so are the answers to that z=2i,z=−2i? And then I would just simplify? Or in other words, I could take the fourth root of −4?
What about the other situation - z2+2i=0 could I make that to z2=−2i?