2s-250/s^2=0

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Solution for 2s-250/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-(250/(s^2)) = 0

2*s-250*s^-2 = 0

2*s^1-250*s^-2 = 0

(2*s^3-250*s^0)/(s^2) = 0 // * s^4

s^2*(2*s^3-250*s^0) = 0

s^2

2*s^3-250 = 0

{ 1, -1, 2, -2, 5, -5, 10, -10, 25, -25, 50, -50, 125, -125, 250, -250 }

1

s = 1

2*s^3-250 = -248

1

-1

s = -1

2*s^3-250 = -252

-1

2

s = 2

2*s^3-250 = -234

2

-2

s = -2

2*s^3-250 = -266

-2

5

s = 5

2*s^3-250 = 0

5

s-5

2*s^2+10*s+50

2*s^3-250

s-5

10*s^2-2*s^3

10*s^2-250

50*s-10*s^2

50*s-250

250-50*s

0

2*s^2+10*s+50 = 0

DELTA = 10^2-(2*4*50)

DELTA = -300

DELTA < 0

s in { 5}

s = 5

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