2x+1/x-4=6

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Solution for 2x+1/x-4=6 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x+1/x-4 = 6 // - 6

2*x+1/x-6-4 = 0

2*x^1+1*x^-1-10*x^0 = 0

(2*x^2-10*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-10*x^1+1*x^0) = 0

x^1

2*x^2-10*x+1 = 0

2*x^2-10*x+1 = 0

DELTA = (-10)^2-(1*2*4)

DELTA = 92

DELTA > 0

x = (92^(1/2)+10)/(2*2) or x = (10-92^(1/2))/(2*2)

x = (2*23^(1/2)+10)/4 or x = (10-2*23^(1/2))/4

x in { (10-2*23^(1/2))/4, (2*23^(1/2)+10)/4} 

x in { (10-2*23^(1/2))/4, (2*23^(1/2)+10)/4 }

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