X^3-27/x^2-9

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Solution for X^3-27/x^2-9 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

X^3-(27/(x^2))-9 = 0

X^3-27*x^-2-9 = 0

-27*x^-2 = -(X^3-9) // : -27

x^-2 = (9-X^3)/(-27)

-2 < 0

1/(x^2) = (9-X^3)/(-27) // * x^2

1 = x^2*((9-X^3)/(-27)) // : (9-X^3)/(-27)

-27*(9-X^3)^-1 = x^2

x^2 = -27*(9-X^3)^-1 // ^ 1/2

abs(x) = (-27)^(1/2)*(9-X^3)^(-1/2)

x = (-27)^(1/2)*(9-X^3)^(-1/2) or x = -((-27)^(1/2)*(9-X^3)^(-1/2))

x in { (-27)^(1/2)*(9-X^3)^(-1/2), -((-27)^(1/2)*(9-X^3)^(-1/2)) }

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