What does the equation xyz=0 represent in the region of R^3?

glasshut137
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Homework Statement



Describe in words the region of R^3 represented by the equation or inequality.

Homework Equations



xyz=0

The Attempt at a Solution



I'm not really sure how to look at the equation. I would think its just the point (0,0,0). Can someone explain if this is wrong.
 
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Um, (1,0,0) also satisfies the equation. Describe the other points that do.
 
Surely you know "if AB= 0 then either A= 0 or B= 0 or both".
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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