1/3x^-2/3=1/12

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Solution for 1/3x^-2/3=1/12 equation: 


D( x )

x = 0

x = 0

x = 0

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

((1/3)*x^-2)/3 = 1/12 // - 1/12

((1/3)*x^-2)/3-(1/12) = 0

((1/3)*x^-2)/3-1/12 = 0

1/9*x^-2 = 1/12 // : 1/9

x^-2 = 3/4

-2 < 0

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

1 = 3/4*x^2 // : 3/4

4/3 = x^2

x^2 = 4/3 // ^ 1/2

abs(x) = (4/3)^(1/2)

x = (4/3)^(1/2) or x = -(4/3)^(1/2)

x in { (4/3)^(1/2), -(4/3)^(1/2) }

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