6x=--1/x

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Solution for 6x=--1/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

6*x = -(-1/x) // + -1/x

6*x-1/x = 0

6*x^1-1*x^-1 = 0

(6*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-1*x^0) = 0

x^1

6*x^2-1 = 0

6*x^2-1 = 0

DELTA = 0^2-(-1*4*6)

DELTA = 24

DELTA > 0

x = (24^(1/2)+0)/(2*6) or x = (0-24^(1/2))/(2*6)

x = (1*6^(1/2))/6 or x = (-6^(1/2))/6

x in { (-6^(1/2))/6, (1*6^(1/2))/6} 

x in { (-6^(1/2))/6, (1*6^(1/2))/6 }

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