x^(-2/3)=0.5

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Solution for x^(-2/3)=0.5 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/3) = 0.5 // - 0.5

x^(-2/3)-0.5 = 0

1*x^(-2/3) = 0.5 // : 1

x^(-2/3) = 0.5

-2/3 < 0

1/(x^(2/3)) = 0.5 // * x^(2/3)

1 = 0.5*x^(2/3) // : 0.5

2 = x^(2/3)

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

x^2 = 8 // ^ 1/2

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

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

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

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