2+s/s^2+2s+10=0

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Solution for 2+s/s^2+2s+10=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+s/(s^2)+2+10 = 0

2*s^1+1*s^-1+12*s^0 = 0

(2*s^2+12*s^1+1*s^0)/(s^1) = 0 // * s^2

s^1*(2*s^2+12*s^1+1*s^0) = 0

s^1

2*s^2+12*s+1 = 0

2*s^2+12*s+1 = 0

DELTA = 12^2-(1*2*4)

DELTA = 136

DELTA > 0

s = (136^(1/2)-12)/(2*2) or s = (-136^(1/2)-12)/(2*2)

s = (2*34^(1/2)-12)/4 or s = (-2*34^(1/2)-12)/4

s in { (-2*34^(1/2)-12)/4, (2*34^(1/2)-12)/4}

s in { (-2*34^(1/2)-12)/4, (2*34^(1/2)-12)/4 }

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