# When is the real part of this complex number positive? [closed]

Let $z$ be a complex number, set $w =z+1/z-1$

For what values of $z$ is the real part of $w$ positive?

I have tried working with the formula $2\Re(w) = z + \bar z$ but have not been able to get anywhere. Can someone help?

## closed as off-topic by Did, Claude Leibovici, Qwerty, DonAntonio, tatanSep 22 '16 at 11:44

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• Let $z=x+y\mathrm{i}$. – Colescu Sep 22 '16 at 5:20
• I have tried working with the formula ... The formula you posted is wrong. That should be $2 \Re(w) = w + \bar w$ instead. Try working with that one. – dxiv Sep 22 '16 at 5:42
• Is it $\;\frac{z+1}{z-1}\;,\;\;or\;\;z+\frac1z-1\;,\;\;or\;\;z+\frac1{z-1}\ldots...??$ Use some parentheses! – DonAntonio Sep 22 '16 at 7:52