3x-2/x-1=8

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Solution for 3x-2/x-1=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(2/x)-1 = 8 // - 8

3*x-(2/x)-8-1 = 0

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

3*x^1-2*x^-1-9*x^0 = 0

(3*x^2-9*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-9*x^1-2*x^0) = 0

x^1

3*x^2-9*x-2 = 0

3*x^2-9*x-2 = 0

DELTA = (-9)^2-(-2*3*4)

DELTA = 105

DELTA > 0

x = (105^(1/2)+9)/(2*3) or x = (9-105^(1/2))/(2*3)

x = (105^(1/2)+9)/6 or x = (9-105^(1/2))/6

x in { (9-105^(1/2))/6, (105^(1/2)+9)/6} 

x in { (9-105^(1/2))/6, (105^(1/2)+9)/6 }

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