x^-2/3=1/36

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Solution for x^-2/3=1/36 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^-2)/3 = 1/36 // - 1/36

(x^-2)/3-(1/36) = 0

(x^-2)/3-1/36 = 0

1/3*x^-2 = 1/36 // : 1/3

x^-2 = 1/12

-2 < 0

1/(x^2) = 1/12 // * x^2

1 = 1/12*x^2 // : 1/12

12 = x^2

x^2 = 12 // ^ 1/2

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

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

x in { 2*3^(1/2), -(2*3^(1/2)) }

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