How many complex roots admit the following equation:(adsbygoogle = window.adsbygoogle || []).push({});

(2 z^2 + 1)^2 ((z + d)/(z - i))^1/2 - (2 z^2 - d)^2 ((z + i)/(z - d))^1/2 == 0

for 0 < d < 1, where i = (-1)^1/2.

Can I found how their number varies with d by using the argument principle?

Thanks in advance for helpfull suggestions

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# Number of complex roots

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