u-3/u=2/5

Solution for u-3/u=2/5 equation:

D( u )

u = 0

u = 0

u = 0

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

u-(3/u) = 2/5 // - 2/5

u-(3/u)-(2/5) = 0

u-3*u^-1-2/5 = 0

1*u^1-3*u^-1-2/5*u^0 = 0

(1*u^2-2/5*u^1-3*u^0)/(u^1) = 0 // * u^2

u^1*(1*u^2-2/5*u^1-3*u^0) = 0

u^1

u^2+(-2/5)*u-3 = 0

u^2+(-2/5)*u-3 = 0

DELTA = (-2/5)^2-(-3*1*4)

DELTA = 304/25

DELTA > 0

u = ((304/25)^(1/2)-(-2/5))/(1*2) or u = (-(-2/5)-(304/25)^(1/2))/(1*2)

u = ((304/25)^(1/2)+2/5)/2 or u = (2/5-(304/25)^(1/2))/2

u in { (2/5-(304/25)^(1/2))/2, ((304/25)^(1/2)+2/5)/2} 

u in { (2/5-(304/25)^(1/2))/2, ((304/25)^(1/2)+2/5)/2 }