5/6=y-6/y+1

Solution for 5/6=y-6/y+1 equation:

D( y )

y = 0

y = 0

y = 0

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

5/6 = y-(6/y)+1 // - y-(6/y)+1

6/y-y+5/6-1 = 0

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

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

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

y^1

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

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

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

DELTA = 865/36

DELTA > 0

y = ((865/36)^(1/2)-(-1/6))/(-1*2) or y = (-(-1/6)-(865/36)^(1/2))/(-1*2)

y = ((865/36)^(1/2)+1/6)/(-2) or y = (1/6-(865/36)^(1/2))/(-2)

y in { ((865/36)^(1/2)+1/6)/(-2), (1/6-(865/36)^(1/2))/(-2)} 

y in { ((865/36)^(1/2)+1/6)/(-2), (1/6-(865/36)^(1/2))/(-2) }