x^(-2/3)=0.25

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Solution for x^(-2/3)=0.25 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/3) = 0.25 // - 0.25

x^(-2/3)-0.25 = 0

1*x^(-2/3) = 0.25 // : 1

x^(-2/3) = 0.25

-2/3 < 0

1/(x^(2/3)) = 0.25 // * x^(2/3)

1 = 0.25*x^(2/3) // : 0.25

4 = x^(2/3)

x^(2/3) = 4 // ^ 3

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8, -8 }

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