(18/x^2-4)-(13/x+2)=(6/2-x)

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Solution for (18/x^2-4)-(13/x+2)=(6/2-x) equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

18/(x^2)-(13/x)-4-2 = 6/2-x // - 6/2-x

x-(13/x)+18/(x^2)-(6/2)-4-2 = 0

x-13*x^-1+18/(x^2)-4-3-2 = 0

1*x^1-13*x^-1+18*x^-2-9*x^0 = 0

(1*x^3-9*x^2-13*x^1+18*x^0)/(x^2) = 0 // * x^4

x^2*(1*x^3-9*x^2-13*x^1+18*x^0) = 0

x^2

x^3-9*x^2-13*x+18 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }

1

x = 1

x^3-9*x^2-13*x+18 = -3

1

-1

x = -1

x^3-9*x^2-13*x+18 = 21

-1

2

x = 2

x^3-9*x^2-13*x+18 = -36

2

-2

x = -2

x^3-9*x^2-13*x+18 = 0

-2

x+2

x^2-11*x+9

x^3-9*x^2-13*x+18

x+2

-x^3-2*x^2

18-11*x^2-13*x

11*x^2+22*x

9*x+18

-9*x-18

0

x^2-11*x+9 = 0

DELTA = (-11)^2-(1*4*9)

DELTA = 85

DELTA > 0

x = (85^(1/2)+11)/(1*2) or x = (11-85^(1/2))/(1*2)

x = (85^(1/2)+11)/2 or x = (11-85^(1/2))/2

x in { (11-85^(1/2))/2, (85^(1/2)+11)/2, -2} 

x in { (11-85^(1/2))/2, (85^(1/2)+11)/2, -2 }

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