x+8/x-9-2

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Solution for x+8/x-9-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+8/x-9-2 = 0

1*x^1+8*x^-1-11*x^0 = 0

(1*x^2-11*x^1+8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-11*x^1+8*x^0) = 0

x^1

x^2-11*x+8 = 0

x^2-11*x+8 = 0

DELTA = (-11)^2-(1*4*8)

DELTA = 89

DELTA > 0

x = (89^(1/2)+11)/(1*2) or x = (11-89^(1/2))/(1*2)

x = (89^(1/2)+11)/2 or x = (11-89^(1/2))/2

x in { (11-89^(1/2))/2, (89^(1/2)+11)/2} 

x in { (11-89^(1/2))/2, (89^(1/2)+11)/2 }

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