2x-(27/x^2)+9=0

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Solution for 2x-(27/x^2)+9=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

2*x-(27/(x^2))+9 = 0

2*x-27*x^-2+9 = 0

2*x^1-27*x^-2+9*x^0 = 0

(2*x^3+9*x^2-27*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3+9*x^2-27*x^0) = 0

x^2

2*x^3+9*x^2-27 = 0

{ 1, -1, 3, -3, 9, -9, 27, -27 }

1

x = 1

2*x^3+9*x^2-27 = -16

1

-1

x = -1

2*x^3+9*x^2-27 = -20

-1

3

x = 3

2*x^3+9*x^2-27 = 108

3

-3

x = -3

2*x^3+9*x^2-27 = 0

-3

x+3

2*x^2+3*x-9

2*x^3+9*x^2-27

x+3

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

3*x^2-27

-3*x^2-9*x

-9*x-27

9*x+27

0

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

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

DELTA = 81

DELTA > 0

x = (81^(1/2)-3)/(2*2) or x = (-81^(1/2)-3)/(2*2)

x = 3/2 or x = -3

x in { -3, 3/2, -3} 

x in { -3, 3/2, -3 }

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