Ratio of a line segment-Something golden!


 

 

 

1 =  x 
x   x + 1

x^2 = x + 1
x^2 - x - 1 = 0

a = 1
b = -1
c = -1

x = 1 + sqrt(1 + 4)
            2
x = 1 + sqrt (5)
          2
x ~ 1.6180           ( - .618 is extraneous, since distance > 0)

Which is the golden ratio.

 

 

 

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