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If complex number z(z!=2) satisfies the ...

If complex number `z(z!=2)` satisfies the equation `z^2=4z+|z|^2+(16)/(|z|^3)` ,then the value of `|z|^4` is______.

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Verified by Experts

The correct Answer is:
4
We know that
`|z + iomega| le |z| +|iomega| =|z| +|i| |omega|=1`
Given `|z+iomgea| = 2 rArr|z| =|omega| =1`.
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