12x-12/x^3

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Solution for 12x-12/x^3 equation:


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in (-oo:0) U (0:+oo)

12*x-(12/(x^3)) = 0

12*x-12*x^-3 = 0

12*x^1-12*x^-3 = 0

(12*x^4-12*x^0)/(x^3) = 0 // * x^6

x^3*(12*x^4-12*x^0) = 0

x^3

12*x^4-12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

12*x^4-12 = 0

1

x-1

12*x^3+12*x^2+12*x+12

12*x^4-12

x-1

12*x^3-12*x^4

12*x^3-12

12*x^2-12*x^3

12*x^2-12

12*x-12*x^2

12*x-12

12-12*x

0

12*x^3+12*x^2+12*x+12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

12*x^3+12*x^2+12*x+12 = 48

1

-1

x = -1

12*x^3+12*x^2+12*x+12 = 0

-1

x+1

12*x^2+12

12*x^3+12*x^2+12*x+12

x+1

-12*x^3-12*x^2

12*x+12

-12*x-12

0

12*x^2+12 = 0

DELTA = 0^2-(4*12*12)

DELTA = -576

DELTA < 0

x in { 1, -1}

x in { 1, -1 }

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