x^-2/3=25

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Solution for x^-2/3=25 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^-2)/3 = 25 // - 25

(x^-2)/3-25 = 0

1/3*x^-2 = 25 // : 1/3

x^-2 = 75

-2 < 0

1/(x^2) = 75 // * x^2

1 = 75*x^2 // : 75

1/75 = x^2

x^2 = 1/75 // ^ 1/2

abs(x) = (1/75)^(1/2)

x = (1/75)^(1/2) or x = -(1/75)^(1/2)

x in { (1/75)^(1/2), -(1/75)^(1/2) }

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