5-s/9-s=4/s-9

Solution for 5-s/9-s=4/s-9 equation:

D( s )

s = 0

s = 0

s = 0

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

5-(s/9)-s = 4/s-9 // - 4/s-9

5-(s/9)-s-(4/s)+9 = 0

5-(s/9)-s-4*s^-1+9 = 0

14*s^0-10/9*s^1-4*s^-1 = 0

(14*s^1-10/9*s^2-4*s^0)/(s^1) = 0 // * s^2

s^1*(14*s^1-10/9*s^2-4*s^0) = 0

s^1

(-10/9)*s^2+14*s-4 = 0

(-10/9)*s^2+14*s-4 = 0

DELTA = 14^2-(-4*4*(-10/9))

DELTA = 1604/9

DELTA > 0

s = ((1604/9)^(1/2)-14)/(2*(-10/9)) or s = (-(1604/9)^(1/2)-14)/(2*(-10/9))

s = -9/20*((1604/9)^(1/2)-14) or s = 9/20*((1604/9)^(1/2)+14)

s in { -9/20*((1604/9)^(1/2)-14), 9/20*((1604/9)^(1/2)+14)} 

s in { -9/20*((1604/9)^(1/2)-14), 9/20*((1604/9)^(1/2)+14) }