x+1/x+3

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Solution for x+1/x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+1/x+3 = 0

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

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

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

x^1

x^2+3*x+1 = 0

x^2+3*x+1 = 0

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

DELTA = 5

DELTA > 0

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

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

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

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

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