Why is the Domain of y=2x^2+12x+12 the Set of Real Numbers?

Ry122
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Can someone please tell me why the domain of y=2x^2+12x+12 is x elementof IR
 
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because the function (of x) is defined for all x in R. It takes any value x in R as a valid input to the function.
 
What does IR mean exactly?
 
I don't know... you tell me? :smile: ... judging by the look of it, it looks like
\mathbb{R}
which means the real line.
 

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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