(1-9x^-2)/(1-3x^-1)

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Solution for (1-9x^-2)/(1-3x^-1) equation: 


D( x )

1-(3*x^-1) = 0

x = 0

1-(3*x^-1) = 0

1-(3*x^-1) = 0

1-3*x^-1 = 0

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

x^-1 = 1/3

-1 < 0

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

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

3 = x^1

x = 3

x = 0

x = 0

x in (-oo:0) U (0:3) U (3:+oo)

(1-(9*x^-2))/(1-(3*x^-1)) = 0

(1-9*x^-2)/(1-3*x^-1) = 0

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

x^-2 = 1/9

-2 < 0

1/(x^2) = 1/9 // * x^2

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

9 = x^2

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in { 3} 

x = -3

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