6x+3/x-2=9

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Solution for 6x+3/x-2=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

6*x+3/x-2 = 9 // - 9

6*x+3/x-9-2 = 0

6*x^1+3*x^-1-11*x^0 = 0

(6*x^2-11*x^1+3*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-11*x^1+3*x^0) = 0

x^1

6*x^2-11*x+3 = 0

6*x^2-11*x+3 = 0

DELTA = (-11)^2-(3*4*6)

DELTA = 49

DELTA > 0

x = (49^(1/2)+11)/(2*6) or x = (11-49^(1/2))/(2*6)

x = 3/2 or x = 1/3

x in { 1/3, 3/2} 

x in { 1/3, 3/2 }

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