A) \[\left| z \right|>1\]
B) \[\left| z \right|<1\]
C) \[\left| z \right|=1\]
D) \[\left| z \right|\ge \frac{3}{2}\]
Correct Answer: B
Solution :
\[{{z}^{4}}+z=-2\] \[|{{z}^{4}}\,+z|=2\] \[\therefore \,\,2\le \,|z{{|}^{4}}+|z|\] \[\Rightarrow \,|z{{|}^{4}}\,+|z|\,\ge 2\] \[\Rightarrow \,|z|<1\] is never possible.
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