3/s-13=s/10

Solution for 3/s-13=s/10 equation:

D( s )

s = 0

s = 0

s = 0

s in (-oo:0) U (0:+oo)

3/s-13 = s/10 // - s/10

3/s-(s/10)-13 = 0

3*s^-1-1/10*s^1-13*s^0 = 0

(3*s^0-1/10*s^2-13*s^1)/(s^1) = 0 // * s^2

s^1*(3*s^0-1/10*s^2-13*s^1) = 0

s^1

(-1/10)*s^2-13*s+3 = 0

(-1/10)*s^2-13*s+3 = 0

DELTA = (-13)^2-(3*4*(-1/10))

DELTA = 851/5

DELTA > 0

s = ((851/5)^(1/2)+13)/(2*(-1/10)) or s = (13-(851/5)^(1/2))/(2*(-1/10))

s = -5*((851/5)^(1/2)+13) or s = -5*(13-(851/5)^(1/2))

s in { -5*((851/5)^(1/2)+13), -5*(13-(851/5)^(1/2))} 

s in { -5*((851/5)^(1/2)+13), -5*(13-(851/5)^(1/2)) }