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

AnimalLover2718 Jun 26, 2019

#2**+3 **

This might help explain why that is true:

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

Note that x^{m} - n is a polynomial of degree m so x^{m} - n = 0 has m solutions.

*edit*

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

hectictar Jun 26, 2019

#2**+3 **

Best Answer

This might help explain why that is true:

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

Note that x^{m} - n is a polynomial of degree m so x^{m} - n = 0 has m solutions.

*edit*

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

hectictar Jun 26, 2019