3=x^-2/3

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Solution for 3=x^-2/3 equation:


D( x )

x = 0

x = 0

x = 0

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

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

3-((x^-2)/3) = 0

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

x^-2 = 9

-2 < 0

1/(x^2) = 9 // * x^2

1 = 9*x^2 // : 9

1/9 = x^2

x^2 = 1/9 // ^ 1/2

abs(x) = 1/3

x = 1/3 or x = -1/3

x in { 1/3, -1/3 }

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