o=-1/(x^2)

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Solution for o=-1/(x^2) 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)

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

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

o+x^-2 = 0

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

x^-2 = -o

-2 < 0

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

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

-o^-1 = x^2

x^2 = -o^-1 // ^ 1/2

abs(x) = o^(-1/2)

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

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

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