4x-108/x^2

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Solution for 4x-108/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)

4*x-(108/(x^2)) = 0

4*x-108*x^-2 = 0

4*x^1-108*x^-2 = 0

(4*x^3-108*x^0)/(x^2) = 0 // * x^4

x^2*(4*x^3-108*x^0) = 0

x^2

4*x^3-108 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 27, -27, 36, -36, 54, -54, 108, -108 }

1

x = 1

4*x^3-108 = -104

1

-1

x = -1

4*x^3-108 = -112

-1

2

x = 2

4*x^3-108 = -76

2

-2

x = -2

4*x^3-108 = -140

-2

3

x = 3

4*x^3-108 = 0

3

x-3

4*x^2+12*x+36

4*x^3-108

x-3

12*x^2-4*x^3

12*x^2-108

36*x-12*x^2

36*x-108

108-36*x

0

4*x^2+12*x+36 = 0

DELTA = 12^2-(4*4*36)

DELTA = -432

DELTA < 0

x in { 3}

x = 3

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