Slope of a tangent From first principles

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Homework Statement



# 23 http://img26.imageshack.us/img26/1008/questionsh.jpg

Homework Equations



m1 * m2 = -1

The Attempt at a Solution



i get -4 not sure what's wrong:

http://img4.imageshack.us/img4/6092/15608741.jpg
 
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In general 2a*(-2a) = -4a2

The question is show that if you have a value of a where a2=1/2-a2 (because this is where the two graphs intersect) then -4a2=-1
 
thats it forgot the POI, thank you.
 

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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