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

Suppose that w is a complex number which is not both real and [itex]\left\lfloor[/itex]w[itex]\right\rfloor[/itex][itex]\geq[/itex]1 (the absolute value of w).

Verify that Re[(1-w[itex]^{2}[/itex])[itex]^{1/2}[/itex]+iw]>0.

2. Relevant equations

3. The attempt at a solution

I attempted to solve this problem by dividing it into three cases; Im(w)>0, w[itex]\in[/itex](-1,1), and Im(w)<0. I could make the conclusion in the case of w[itex]\in[/itex](-1,1).

But, I don't have any idea how to approach in the cases of Im(w)>0 and Im(w)<0.

Could you give me a hint??

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# Homework Help: Inequality of a complex number

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