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

x^(-2/3) = 3

-2/3 < 0

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

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

1/3 = x^(2/3)

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

x^2 = 1/27 // ^ 1/2

abs(x) = (1/27)^(1/2)

x = (1/27)^(1/2) or x = -(1/27)^(1/2)

x in { (1/27)^(1/2), -(1/27)^(1/2) }

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