3x-1/x-2=1/x-2

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Solution for 3x-1/x-2=1/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(1/x)-2 = 1/x-2 // - 1/x-2

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

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

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

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

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

x^1

3*x^2-2 = 0

3*x^2-2 = 0

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

DELTA = 24

DELTA > 0

x = (24^(1/2)+0)/(2*3) or x = (0-24^(1/2))/(2*3)

x = (1*6^(1/2))/3 or x = (-6^(1/2))/3

x in { (-6^(1/2))/3, (1*6^(1/2))/3} 

x in { (-6^(1/2))/3, (1*6^(1/2))/3 }

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