6x-1=2/x

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Solution for 6x-1=2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x-1 = 2/x // - 2/x

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

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

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

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

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

x^1

6*x^2-x-2 = 0

6*x^2-x-2 = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(2*6) or x = (1-49^(1/2))/(2*6)

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

x in { -1/2, 2/3} 

x in { -1/2, 2/3 }

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