(1/x-1)(1/x+1)=1

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Solution for (1/x-1)(1/x+1)=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/x-1)*(1/x+1) = 1 // - 1

(1/x-1)*(1/x+1)-1 = 0

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

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

x^-2-2 = 0

x^-2-2 = 0

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

x^-2 = 2

-2 < 0

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

1 = 2*x^2 // : 2

1/2 = x^2

x^2 = 1/2 // ^ 1/2

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

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

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

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