2s-5488/s^2=0

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Solution for 2s-5488/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-(5488/(s^2)) = 0

2*s-5488*s^-2 = 0

2*s^1-5488*s^-2 = 0

(2*s^3-5488*s^0)/(s^2) = 0 // * s^4

s^2*(2*s^3-5488*s^0) = 0

s^2

2*s^3-5488 = 0

{ 1, -1, 2, -2, 4, -4, 7, -7, 8, -8, 14, -14, 16, -16, 28, -28, 49, -49, 56, -56, 98, -98, 112, -112, 196, -196, 343, -343, 392, -392, 686, -686, 784, -784, 1372, -1372, 2744, -2744, 5488, -5488 }

1

s = 1

2*s^3-5488 = -5486

1

-1

s = -1

2*s^3-5488 = -5490

-1

2

s = 2

2*s^3-5488 = -5472

2

-2

s = -2

2*s^3-5488 = -5504

-2

4

s = 4

2*s^3-5488 = -5360

4

-4

s = -4

2*s^3-5488 = -5616

-4

7

s = 7

2*s^3-5488 = -4802

7

-7

s = -7

2*s^3-5488 = -6174

-7

8

s = 8

2*s^3-5488 = -4464

8

-8

s = -8

2*s^3-5488 = -6512

-8

14

s = 14

2*s^3-5488 = 0

14

s-14

2*s^2+28*s+392

2*s^3-5488

s-14

28*s^2-2*s^3

28*s^2-5488

392*s-28*s^2

392*s-5488

5488-392*s

0

2*s^2+28*s+392 = 0

DELTA = 28^2-(2*4*392)

DELTA = -2352

DELTA < 0

s in { 14}

s = 14

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