2s-(11664/s^2)=0

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Solution for 2s-(11664/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-(11664/(s^2)) = 0

2*s-11664*s^-2 = 0

2*s^1-11664*s^-2 = 0

(2*s^3-11664*s^0)/(s^2) = 0 // * s^4

s^2*(2*s^3-11664*s^0) = 0

s^2

2*s^3-11664 = 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, 81, -81, 108, -108, 144, -144, 162, -162, 216, -216, 243, -243, 324, -324, 432, -432, 486, -486, 648, -648, 729, -729, 972, -972, 1296, -1296, 1458, -1458, 1944, -1944, 2916, -2916, 3888, -3888, 5832, -5832, 11664, -11664 }

1

s = 1

2*s^3-11664 = -11662

1

-1

s = -1

2*s^3-11664 = -11666

-1

2

s = 2

2*s^3-11664 = -11648

2

-2

s = -2

2*s^3-11664 = -11680

-2

3

s = 3

2*s^3-11664 = -11610

3

-3

s = -3

2*s^3-11664 = -11718

-3

4

s = 4

2*s^3-11664 = -11536

4

-4

s = -4

2*s^3-11664 = -11792

-4

6

s = 6

2*s^3-11664 = -11232

6

-6

s = -6

2*s^3-11664 = -12096

-6

8

s = 8

2*s^3-11664 = -10640

8

-8

s = -8

2*s^3-11664 = -12688

-8

9

s = 9

2*s^3-11664 = -10206

9

-9

s = -9

2*s^3-11664 = -13122

-9

12

s = 12

2*s^3-11664 = -8208

12

-12

s = -12

2*s^3-11664 = -15120

-12

16

s = 16

2*s^3-11664 = -3472

16

-16

s = -16

2*s^3-11664 = -19856

-16

18

s = 18

2*s^3-11664 = 0

18

s-18

2*s^2+36*s+648

2*s^3-11664

s-18

36*s^2-2*s^3

36*s^2-11664

648*s-36*s^2

648*s-11664

11664-648*s

0

2*s^2+36*s+648 = 0

DELTA = 36^2-(2*4*648)

DELTA = -3888

DELTA < 0

s in { 18}

s = 18

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