6x-1/x+2=6

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 40

DELTA > 0

x = (40^(1/2)+4)/(2*6) or x = (4-40^(1/2))/(2*6)

x = (2*10^(1/2)+4)/12 or x = (4-2*10^(1/2))/12

x in { (4-2*10^(1/2))/12, (2*10^(1/2)+4)/12} 

x in { (4-2*10^(1/2))/12, (2*10^(1/2)+4)/12 }

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