2x-(16/x^2)=0

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Solution for 2x-(16/x^2)=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-(16/(x^2)) = 0

2*x-16*x^-2 = 0

2*x^1-16*x^-2 = 0

(2*x^3-16*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-16*x^0) = 0

x^2

2*x^3-16 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16 }

1

x = 1

2*x^3-16 = -14

1

-1

x = -1

2*x^3-16 = -18

-1

2

x = 2

2*x^3-16 = 0

2

x-2

2*x^2+4*x+8

2*x^3-16

x-2

4*x^2-2*x^3

4*x^2-16

8*x-4*x^2

8*x-16

16-8*x

0

2*x^2+4*x+8 = 0

DELTA = 4^2-(2*4*8)

DELTA = -48

DELTA < 0

x in { 2} 

x = 2

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