(X/x^2)=(-1/x)

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Solution for (X/x^2)=(-1/x) equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

X/(x^2)+x^-1 = 0

X*x^-2+x^-1 = 0

x^-1*(X*x^-1+1) = 0

X*x^-1 = -1 // : X

x^-1 = -1/X

-1 < 0

1/(x^1) = -1/X // * x^1

1 = (-1/X)*x^1 // : -1/X

-X = x^1

x = -X

1/x = 0

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x = -X

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