MHB Find Complex Root of z^5=0 | Math Solutions

Amer
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how to find the complex root of

z^5 = 0 there is one real root 0
 
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This equation has a single complex root, i.e., 0.
 
Evgeny.Makarov said:
This equation has a single complex root, i.e., 0.

with a multiplicity of 5.
 
thanks
 

Thread '2-sphere intrinsic definition by gluing disks' boundaries'

A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.
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