y-3/y=8/5

Solution for y-3/y=8/5 equation:

D( y )

y = 0

y = 0

y = 0

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

y-(3/y) = 8/5 // - 8/5

y-(3/y)-(8/5) = 0

y-3*y^-1-8/5 = 0

1*y^1-3*y^-1-8/5*y^0 = 0

(1*y^2-8/5*y^1-3*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-8/5*y^1-3*y^0) = 0

y^1

y^2+(-8/5)*y-3 = 0

y^2+(-8/5)*y-3 = 0

DELTA = (-8/5)^2-(-3*1*4)

DELTA = 364/25

DELTA > 0

y = ((364/25)^(1/2)-(-8/5))/(1*2) or y = (-(-8/5)-(364/25)^(1/2))/(1*2)

y = ((364/25)^(1/2)+8/5)/2 or y = (8/5-(364/25)^(1/2))/2

y in { (8/5-(364/25)^(1/2))/2, ((364/25)^(1/2)+8/5)/2} 

y in { (8/5-(364/25)^(1/2))/2, ((364/25)^(1/2)+8/5)/2 }