3x-1/x-2+3x-6

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


D( x )

x = 0

x = 0

x = 0

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

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

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

6*x^1-1*x^-1-8*x^0 = 0

(6*x^2-8*x^1-1*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-8*x^1-1*x^0) = 0

x^1

6*x^2-8*x-1 = 0

6*x^2-8*x-1 = 0

DELTA = (-8)^2-(-1*4*6)

DELTA = 88

DELTA > 0

x = (88^(1/2)+8)/(2*6) or x = (8-88^(1/2))/(2*6)

x = (2*22^(1/2)+8)/12 or x = (8-2*22^(1/2))/12

x in { (8-2*22^(1/2))/12, (2*22^(1/2)+8)/12} 

x in { (8-2*22^(1/2))/12, (2*22^(1/2)+8)/12 }

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