x-9/x+3

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Solution for x-9/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(9/x)+3 = 0

x-9*x^-1+3 = 0

1*x^1-9*x^-1+3*x^0 = 0

(1*x^2+3*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+3*x^1-9*x^0) = 0

x^1

x^2+3*x-9 = 0

x^2+3*x-9 = 0

DELTA = 3^2-(-9*1*4)

DELTA = 45

DELTA > 0

x = (45^(1/2)-3)/(1*2) or x = (-45^(1/2)-3)/(1*2)

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

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

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

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