2s-(1024/s^2)=0

Solution for 2s-(1024/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-(1024/(s^2)) = 0

2*s-1024*s^-2 = 0

2*s^1-1024*s^-2 = 0

(2*s^3-1024*s^0)/(s^2) = 0 // * s^4

s^2*(2*s^3-1024*s^0) = 0

s^2

2*s^3-1024 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64, 128, -128, 256, -256, 512, -512, 1024, -1024 }

1

s = 1

2*s^3-1024 = -1022

1

-1

s = -1

2*s^3-1024 = -1026

-1

2

s = 2

2*s^3-1024 = -1008

2

-2

s = -2

2*s^3-1024 = -1040

-2

4

s = 4

2*s^3-1024 = -896

4

-4

s = -4

2*s^3-1024 = -1152

-4

8

s = 8

2*s^3-1024 = 0

8

s-8

2*s^2+16*s+128

2*s^3-1024

s-8

16*s^2-2*s^3

16*s^2-1024

128*s-16*s^2

128*s-1024

1024-128*s

0

2*s^2+16*s+128 = 0

DELTA = 16^2-(2*4*128)

DELTA = -768

DELTA < 0

s in { 8} 

s = 8