6x-1/x-2=3

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Solution for 6x-1/x-2=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

6*x^1-1*x^-1-5*x^0 = 0

(6*x^2-5*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-5*x^1-1*x^0) = 0

x^1

6*x^2-5*x-1 = 0

6*x^2-5*x-1 = 0

DELTA = (-5)^2-(-1*4*6)

DELTA = 49

DELTA > 0

x = (49^(1/2)+5)/(2*6) or x = (5-49^(1/2))/(2*6)

x = 1 or x = -1/6

x in { -1/6, 1} 

x in { -1/6, 1 }

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