(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find four complex numberszeach with the property that Re(z), Im(z), Re(z^{-1}), Im(z^{-1}) are all integers, where Re and Im denote the real and imaginary parts respectively of a complex number.

2. Relevant equations

Maybe 1/z = [itex]\frac{\bar{z}}{|z|^{2}}[/itex] ? On my screen that code isn't working... hopefully you guys can see it.

3. The attempt at a solution

I'm not sure if I have to use the above equation, or the answer is as simple as the numbers being (1+i), (-1-i), (1-i), (-1+i). Because the real and imaginary parts of each complex number will be an integer, as well as when they are reciprocated. If they were anything other than "1" they wouldn't be an integer...

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# Complex Numbers

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