X^3/x^2-16

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Solution for X^3/x^2-16 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)/(x^2)-16 = 0

X^3*x^-2 = 16 // : X^3

x^-2 = 16/(X^3)

-2 < 0

1/(x^2) = 16/(X^3) // * x^2

1 = (16/(X^3))*x^2 // : 16/(X^3)

1/(16/(X^3)) = x^2

x^2 = 1/(16/(X^3)) // ^ 1/2

abs(x) = 1/(4/(X^(3/2)))

x = 1/(4/(X^(3/2))) or x = -(1/(4/(X^(3/2))))

x in { 1/(4/(X^(3/2))), -(1/(4/(X^(3/2)))) }

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