2s-(3456/s^2)=0

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Solution for 2s-(3456/s^2)=0 equation:


D( s )

s^2 = 0

s^2 = 0

s^2 = 0

1*s^2 = 0 // : 1

s^2 = 0

s = 0

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

2*s-(3456/(s^2)) = 0

2*s-3456*s^-2 = 0

2*s^1-3456*s^-2 = 0

(2*s^3-3456*s^0)/(s^2) = 0 // * s^4

s^2*(2*s^3-3456*s^0) = 0

s^2

2*s^3-3456 = 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, 32, -32, 36, -36, 48, -48, 54, -54, 64, -64, 72, -72, 96, -96, 108, -108, 128, -128, 144, -144, 192, -192, 216, -216, 288, -288, 384, -384, 432, -432, 576, -576, 864, -864, 1152, -1152, 1728, -1728, 3456, -3456 }

1

s = 1

2*s^3-3456 = -3454

1

-1

s = -1

2*s^3-3456 = -3458

-1

2

s = 2

2*s^3-3456 = -3440

2

-2

s = -2

2*s^3-3456 = -3472

-2

3

s = 3

2*s^3-3456 = -3402

3

-3

s = -3

2*s^3-3456 = -3510

-3

4

s = 4

2*s^3-3456 = -3328

4

-4

s = -4

2*s^3-3456 = -3584

-4

6

s = 6

2*s^3-3456 = -3024

6

-6

s = -6

2*s^3-3456 = -3888

-6

8

s = 8

2*s^3-3456 = -2432

8

-8

s = -8

2*s^3-3456 = -4480

-8

9

s = 9

2*s^3-3456 = -1998

9

-9

s = -9

2*s^3-3456 = -4914

-9

12

s = 12

2*s^3-3456 = 0

12

s-12

2*s^2+24*s+288

2*s^3-3456

s-12

24*s^2-2*s^3

24*s^2-3456

288*s-24*s^2

288*s-3456

3456-288*s

0

2*s^2+24*s+288 = 0

DELTA = 24^2-(2*4*288)

DELTA = -1728

DELTA < 0

s in { 12}

s = 12

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