Help factoring x^2-x+1/x+1 -1/2

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Homework Statement


x^2-x+1/x+1 -1/2


Homework Equations


need help factoring this


The Attempt at a Solution



A common denominator would be 2(x+1) but that does not change my numerator
 
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what is your GCD?
 
I think I got it, common deno is 2(x+1), which gives you 2x^2-3x+1/2(x+1) and that factors into (x-1)(2x-1)/2(x+1) Right?
 
Yes it is correct!
 
Assuming your original expression is (x^2-x+1)/(x+1)- 1/2, then it is correct.
Please use parentheses!
 

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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