108/x^2-4x

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Solution for 108/x^2-4x 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)

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

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

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

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

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

x^2

108-4*x^3 = 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

108-4*x^3 = 104

1

-1

x = -1

108-4*x^3 = 112

-1

2

x = 2

108-4*x^3 = 76

2

-2

x = -2

108-4*x^3 = 140

-2

3

x = 3

108-4*x^3 = 0

3

x-3

-4*x^2-12*x-36

108-4*x^3

x-3

4*x^3-12*x^2

108-12*x^2

12*x^2-36*x

108-36*x

36*x-108

0

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

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

DELTA = -432

DELTA < 0

x in { 3}

x = 3

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