3/2y+6/y^2

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Solution for 3/2y+6/y^2 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)

(3/2)*y+6/(y^2) = 0

3/2*y+6*y^-2 = 0

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

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

y^-3 = -1/4

-3 < 0

1/(y^3) = -1/4 // * y^3

1 = -1/4*y^3 // : -1/4

-4 = y^3

y^3 = -4 // ^ 1/3

y = -4^(1/3)

3*y = 0

3*y = 0 // : 3

y = 0

y in { 0}

y = -4^(1/3)

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