x+9/x-9

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Solution for x+9/x-9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+9/x-9 = 0

1*x^1+9*x^-1-9*x^0 = 0

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

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

x^1

x^2-9*x+9 = 0

x^2-9*x+9 = 0

DELTA = (-9)^2-(1*4*9)

DELTA = 45

DELTA > 0

x = (45^(1/2)+9)/(1*2) or x = (9-45^(1/2))/(1*2)

x = (3*5^(1/2)+9)/2 or x = (9-3*5^(1/2))/2

x in { (9-3*5^(1/2))/2, (3*5^(1/2)+9)/2} 

x in { (9-3*5^(1/2))/2, (3*5^(1/2)+9)/2 }

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