x+4/x+9

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Solution for x+4/x+9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+4/x+9 = 0

1*x^1+4*x^-1+9*x^0 = 0

(1*x^2+9*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+9*x^1+4*x^0) = 0

x^1

x^2+9*x+4 = 0

x^2+9*x+4 = 0

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

DELTA = 65

DELTA > 0

x = (65^(1/2)-9)/(1*2) or x = (-65^(1/2)-9)/(1*2)

x = (65^(1/2)-9)/2 or x = (-(65^(1/2)+9))/2

x in { (-(65^(1/2)+9))/2, (65^(1/2)-9)/2} 

x in { (-(65^(1/2)+9))/2, (65^(1/2)-9)/2 }

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