18x-2/(3x)

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Solution for 18x-2/(3x) equation: 


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

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

18*x-(2/(3*x)) = 0

18*x+(-2/3)*x^-1 = 0

18*x^1-2/3*x^-1 = 0

(18*x^2-2/3*x^0)/(x^1) = 0 // * x^2

x^1*(18*x^2-2/3*x^0) = 0

x^1

18*x^2-2/3 = 0

18*x^2-2/3 = 0

DELTA = 0^2-(4*18*(-2/3))

DELTA = 48

DELTA > 0

x = (48^(1/2)+0)/(2*18) or x = (0-48^(1/2))/(2*18)

x = (3^(1/2))/9 or x = (-3^(1/2))/9

x in { (-3^(1/2))/9, (3^(1/2))/9} 

x in { (-3^(1/2))/9, (3^(1/2))/9 }

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