2x=432/x^2

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Solution for 2x=432/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 = 432/(x^2) // - 432/(x^2)

2*x-(432/(x^2)) = 0

2*x-432*x^-2 = 0

2*x^1-432*x^-2 = 0

(2*x^3-432*x^0)/(x^2) = 0 // * x^4

x^2*(2*x^3-432*x^0) = 0

x^2

2*x^3-432 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 9, -9, 12, -12, 16, -16, 18, -18, 24, -24, 27, -27, 36, -36, 48, -48, 54, -54, 72, -72, 108, -108, 144, -144, 216, -216, 432, -432 }

1

x = 1

2*x^3-432 = -430

1

-1

x = -1

2*x^3-432 = -434

-1

2

x = 2

2*x^3-432 = -416

2

-2

x = -2

2*x^3-432 = -448

-2

3

x = 3

2*x^3-432 = -378

3

-3

x = -3

2*x^3-432 = -486

-3

4

x = 4

2*x^3-432 = -304

4

-4

x = -4

2*x^3-432 = -560

-4

6

x = 6

2*x^3-432 = 0

6

x-6

2*x^2+12*x+72

2*x^3-432

x-6

12*x^2-2*x^3

12*x^2-432

72*x-12*x^2

72*x-432

432-72*x

0

2*x^2+12*x+72 = 0

DELTA = 12^2-(2*4*72)

DELTA = -432

DELTA < 0

x in { 6}

x = 6

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