2/5=y-6/y+3

Solution for 2/5=y-6/y+3 equation:

D( y )

y = 0

y = 0

y = 0

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

2/5 = y-(6/y)+3 // - y-(6/y)+3

6/y-y+2/5-3 = 0

6*y^-1-1*y^1-13/5*y^0 = 0

(6*y^0-1*y^2-13/5*y^1)/(y^1) = 0 // * y^2

y^1*(6*y^0-1*y^2-13/5*y^1) = 0

y^1

(-13/5)*y-y^2+6 = 0

(-13/5)*y-y^2+6 = 0

DELTA = (-13/5)^2-(-1*4*6)

DELTA = 769/25

DELTA > 0

y = ((769/25)^(1/2)-(-13/5))/(-1*2) or y = (-(-13/5)-(769/25)^(1/2))/(-1*2)

y = ((769/25)^(1/2)+13/5)/(-2) or y = (13/5-(769/25)^(1/2))/(-2)

y in { ((769/25)^(1/2)+13/5)/(-2), (13/5-(769/25)^(1/2))/(-2)} 

y in { ((769/25)^(1/2)+13/5)/(-2), (13/5-(769/25)^(1/2))/(-2) }