X-1/x+9=x+2/x-6

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Solution for X-1/x+9=x+2/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

X-(1/x)+9 = x+2/x-6 // - x+2/x-6

X-x-(1/x)-(2/x)+6+9 = 0

X-x-x^-1-2*x^-1+6+9 = 0

15*x^0-1*x^1-3*x^-1 = 0

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

x^1*(15*x^1-1*x^2-3*x^0) = 0

x^1

15*x-x^2-3 = 0

15*x-x^2-3 = 0

DELTA = 15^2-(-3*(-1)*4)

DELTA = 213

DELTA > 0

x = (213^(1/2)-15)/(-1*2) or x = (-213^(1/2)-15)/(-1*2)

x = (213^(1/2)-15)/(-2) or x = (213^(1/2)+15)/2

x in { (213^(1/2)-15)/(-2), (213^(1/2)+15)/2} 

x in { (213^(1/2)-15)/(-2), (213^(1/2)+15)/2 }

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