y-9/y^2-y+9/6y

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Solution for y-9/y^2-y+9/6y equation: 


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

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

y-y+(9/6)*y-(9/(y^2)) = 0

y-y+(9/6)*y-9*y^-2 = 0

3/2*y-9*y^-2 = 0

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

-3*y^-3 = -1/2 // : -3

y^-3 = 1/6

-3 < 0

1/(y^3) = 1/6 // * y^3

1 = 1/6*y^3 // : 1/6

6 = y^3

y^3 = 6 // ^ 1/3

y = 6^(1/3)

3*y = 0

3*y = 0 // : 3

y = 0

y in { 0} 

y = 6^(1/3)

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