Number of solutions of the equation, \[{{z}^{3}}+\frac{3{{\left| z \right|}^{2}}}{z}=0,\] where z is a complex number and \[|z|=\sqrt{3}\] is

Number of solutions of the equation, \[{{z}^{3}}+\frac{3{{\left| z \ri

1.	Number of solutions of the equation, \[{{z}^{3}}+\frac{3{{\left\| z \right\|}^{2}}}{z}=0,\] where z is a complex number and \[\|z\|=\sqrt{3}\] is
A.	2
B.	3
C.	6
D.	4
Answer» E.

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Number of solutions of the equation, \[{{z}^{3}}+\frac{3{{\left| z \right|}^{2}}}{z}=0,\] where z is a complex number and \[|z|=\sqrt{3}\] is

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