x-16/x^2=8-2/x

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Solution for x-16/x^2=8-2/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)

x-(16/(x^2)) = 8-(2/x) // - 8-(2/x)

x+2/x-(16/(x^2))-8 = 0

x+2/x-16*x^-2-8 = 0

1*x^1+2*x^-1-16*x^-2-8*x^0 = 0

(1*x^3-8*x^2+2*x^1-16*x^0)/(x^2) = 0 // * x^4

x^2*(1*x^3-8*x^2+2*x^1-16*x^0) = 0

x^2

x^3-8*x^2+2*x-16 = 0

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

1

x = 1

x^3-8*x^2+2*x-16 = -21

1

-1

x = -1

x^3-8*x^2+2*x-16 = -27

-1

2

x = 2

x^3-8*x^2+2*x-16 = -36

2

-2

x = -2

x^3-8*x^2+2*x-16 = -60

-2

4

x = 4

x^3-8*x^2+2*x-16 = -72

4

-4

x = -4

x^3-8*x^2+2*x-16 = -216

-4

8

x = 8

x^3-8*x^2+2*x-16 = 0

8

x-8

x^2+2

x^3-8*x^2+2*x-16

x-8

8*x^2-x^3

2*x-16

16-2*x

0

x^2+2 = 0

DELTA = 0^2-(1*2*4)

DELTA = -8

DELTA < 0

x in { 8}

x = 8

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