x^2-6x+2/x+3

Solution for x^2-6x+2/x+3 equation:

D( x )

x = 0

x = 0

x = 0

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

x^2-(6*x)+2/x+3 = 0

x^2-6*x+2/x+3 = 0

1*x^2-6*x^1+2*x^-1+3*x^0 = 0

(1*x^3-6*x^2+3*x^1+2*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^3-6*x^2+3*x^1+2*x^0) = 0

x^1

x^3-6*x^2+3*x+2 = 0

{ 1, -1, 2, -2 }

1

x = 1

x^3-6*x^2+3*x+2 = 0

1

x-1

x^2-5*x-2

x^3-6*x^2+3*x+2

x-1

x^2-x^3

3*x-5*x^2+2

5*x^2-5*x

2-2*x

2*x-2

0

x^2-5*x-2 = 0

DELTA = (-5)^2-(-2*1*4)

DELTA = 33

DELTA > 0

x = (33^(1/2)+5)/(1*2) or x = (5-33^(1/2))/(1*2)

x = (33^(1/2)+5)/2 or x = (5-33^(1/2))/2

x in { (5-33^(1/2))/2, (33^(1/2)+5)/2, 1} 

x in { (5-33^(1/2))/2, (33^(1/2)+5)/2, 1 }