2x-(54/x^2)

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Solution for 2x-(54/x^2) 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-(54/(x^2)) = 0

2*x-54*x^-2 = 0

2*x^1-54*x^-2 = 0

(2*x^3-54*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-54*x^0) = 0

x^2

2*x^3-54 = 0

{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18, 27, -27, 54, -54 }

1

x = 1

2*x^3-54 = -52

1

-1

x = -1

2*x^3-54 = -56

-1

2

x = 2

2*x^3-54 = -38

2

-2

x = -2

2*x^3-54 = -70

-2

3

x = 3

2*x^3-54 = 0

3

x-3

2*x^2+6*x+18

2*x^3-54

x-3

6*x^2-2*x^3

6*x^2-54

18*x-6*x^2

18*x-54

54-18*x

0

2*x^2+6*x+18 = 0

DELTA = 6^2-(2*4*18)

DELTA = -108

DELTA < 0

x in { 3}

x = 3

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