-1/x^2=-1/3

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


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

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

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

x^-2 = 1/3

-2 < 0

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

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

3 = x^2

x^2 = 3 // ^ 1/2

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

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

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

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