What is the solution for (1-i)^n = -512 - 512i?

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SUMMARY

The equation (1-i)^n = -512 - 512i can be solved by recognizing that n = 19. This conclusion is based on the fact that (\sqrt{2})^10 equals 512, simplifying the problem significantly. The discussion highlights a concern regarding the appropriate categorization of math problems in forum sections, emphasizing that standard textbook questions should be posted in the Homework Help section to maintain forum guidelines.

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Solve (1-i)^n = -512 - 512i for n.
:wink:
 
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mathwizarddud said:
Solve (1-i)^n = -512 - 512i for n.
:wink:

as in you need help with it? Or a problem for us to do?

Anyhow...it looks relatively simple.
 
I'm thinking n = 19
 
Even I can do that one.
 
The fact that (\sqrt{2})^10= 512 makes that pretty trivial.
 
mathwizarddud said:
Solve (1-i)^n = -512 - 512i for n.
:wink:
What is the point of this thread?
 
mathwizarddud, many of us seem to be slightly irritated you constantly post these problems here in the *Homework Help* section. You may think these problems are interesting, and I'm sure they interest some other people as well, but please, post these in the general math section, all under a single thread, named something obvious like "Simple Math Problems" or alike.
 
Gib Z, whether or not the question is a real homework question is irrelevant. If it's a standard textbook question, it belongs in the HW forums, and the OP is required to show original effort. Otherwise the Math forums just become a backdoor to avoiding our Guidelines for homework.
 

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