1/x^3=1/216

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Solution for 1/x^3=1/216 equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

1/(x^3) = 1/216 // - 1/216

1/(x^3)-(1/216) = 0

1/(x^3)-1/216 = 0

1*x^-3 = 1/216 // : 1

x^-3 = 1/216

-3 < 0

1/(x^3) = 1/216 // * x^3

1 = 1/216*x^3 // : 1/216

216 = x^3

x^3 = 216 // ^ 1/3

x = 6

x = 6

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