Discrete Math - Complete set of representatives

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[SOLVED] Discrete Math - Complete set of representatives

Homework Statement


At what temperature fahrenheit is it equal to celsius?

Homework Equations



(none)


The Attempt at a Solution

 
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Hint: Think of circles centered at the origin in R^2.
 
Sorry, ziox, changed questions
 
Do you know the formula for degrees Fahrenheit in terms of degrees Celsius (or vice-versa)? Just put C= F and solve.

If not, the equation is linear: F= AC+ B. Use C= 0 corresponds to F= 32, C= 100 corresponds to F= 212 to find A and B.
 
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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