y+6/y^2-6y

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

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

6*y^-2-5*y = 0

y*(6*y^-3-5) = 0

6*y^-3 = 5 // : 6

y^-3 = 5/6

-3 < 0

1/(y^3) = 5/6 // * y^3

1 = 5/6*y^3 // : 5/6

6/5 = y^3

y^3 = 6/5 // ^ 1/3

y = (6/5)^(1/3)

y = 0

y = 0

y in { 0} 

y = (6/5)^(1/3)

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