Determine coordinates of reflection given equation

euro94
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Homework Statement


Find the coordinates of reflection of the point P (4,8) in the line y=-3/2 x + 14


Homework Equations



y= -3/2x + 14

The Attempt at a Solution


find a point on the line?
 
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Can you find the equation of the line through (4, 8), perpendicular to that line? Do you see why you want that?
 
would you have to sub in the point 4,8 in the equation and find the dot product?
 

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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