1/y=1/6y-1

Solution for 1/y=1/6y-1 equation:

D( y )

y = 0

y = 0

y = 0

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

1/y = (1/6)*y-1 // - (1/6)*y-1

1/y-((1/6)*y)+1 = 0

(-1/6)*y+1/y+1 = 0

1*y^-1-1/6*y^1+1*y^0 = 0

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

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

y^1

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

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

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

DELTA = 5/3

DELTA > 0

y = ((5/3)^(1/2)-1)/(2*(-1/6)) or y = (-(5/3)^(1/2)-1)/(2*(-1/6))

y = -3*((5/3)^(1/2)-1) or y = 3*((5/3)^(1/2)+1)

y in { -3*((5/3)^(1/2)-1), 3*((5/3)^(1/2)+1)} 

y in { -3*((5/3)^(1/2)-1), 3*((5/3)^(1/2)+1) }