y-2/(y-4/y)

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Solution for y-2/(y-4/y) equation: 


D( y )

y-(4/y) = 0

y = 0

y-(4/y) = 0

y-(4/y) = 0

y-4*y^-1 = 0

1*y^1-4*y^-1 = 0

(1*y^2-4*y^0)/(y^1) = 0 // * y^2

y^1*(1*y^2-4*y^0) = 0

y^1

y^2-4 = 0

y^2-4 = 0

DELTA = 0^2-(-4*1*4)

DELTA = 16

DELTA > 0

y = (16^(1/2)+0)/(1*2) or y = (0-16^(1/2))/(1*2)

y = 2 or y = -2

y in { -2, 2} 

y = 0

y = 0

y in (-oo:-2) U (-2:0) U (0:2) U (2:+oo)

y-(2/(y-(4/y))) = 0

y-2*(y-4*y^-1)^-1 = 0

y-2/(y-4*y^-1) = 0

y-4*y^-1 = 0

y-4*y^-1 = 0

y^-1*(y^2-4) = 0

1*y^2 = 4 // : 1

y^2 = 4

y^2 = 4 // ^ 1/2

abs(y) = 2

y = 2 or y = -2

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

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

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

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

y^2-6 = 0

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

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

y^2-6 = 0

1*y^2 = 6 // : 1

y^2 = 6

y^2 = 6 // ^ 1/2

abs(y) = 6^(1/2)

y = 6^(1/2) or y = -6^(1/2)

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

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