6x-2/x-2=2

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Solution for 6x-2/x-2=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-(2/x)-2 = 2 // - 2

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

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

6*x^1-2*x^-1-4*x^0 = 0

(6*x^2-4*x^1-2*x^0)/(x^1) = 0 // * x^2

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

x^1

6*x^2-4*x-2 = 0

6*x^2-4*x-2 = 0

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

DELTA = 64

DELTA > 0

x = (64^(1/2)+4)/(2*6) or x = (4-64^(1/2))/(2*6)

x = 1 or x = -1/3

x in { -1/3, 1} 

x in { -1/3, 1 }

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