6x-6/x-1

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Solution for 6x-6/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

6*x^2-x-6 = 0

6*x^2-x-6 = 0

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

DELTA = 145

DELTA > 0

x = (145^(1/2)+1)/(2*6) or x = (1-145^(1/2))/(2*6)

x = (145^(1/2)+1)/12 or x = (1-145^(1/2))/12

x in { (1-145^(1/2))/12, (145^(1/2)+1)/12} 

x in { (1-145^(1/2))/12, (145^(1/2)+1)/12 }

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