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I often see problems like \(x^m=n\), and I always get \(m\) answers.  Can someone confirm this and explain why?

 Jun 26, 2019

Best Answer 

 #2
avatar+8963 
+5

This might help explain why that is true:

 

https://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html

 

Note that     xm - n     is a polynomial of degree  m     so     xm - n = 0     has     m     solutions.

 

*edit*

 

Also this video might help: https://www.youtube.com/watch?v=d8-LO6FCna0   smiley

 Jun 26, 2019
edited by hectictar  Jun 26, 2019
 #1
avatar+35 
+2

Bump hello?  CPhill?

 Jun 26, 2019
 #2
avatar+8963 
+5
Best Answer

This might help explain why that is true:

 

https://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html

 

Note that     xm - n     is a polynomial of degree  m     so     xm - n = 0     has     m     solutions.

 

*edit*

 

Also this video might help: https://www.youtube.com/watch?v=d8-LO6FCna0   smiley

hectictar Jun 26, 2019
edited by hectictar  Jun 26, 2019

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