5-(1/x^2)=1

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Solution for 5-(1/x^2)=1 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)

5-(1/(x^2)) = 1 // - 1

5-(1/(x^2))-1 = 0

5-x^-2-1 = 0

-1*x^-2 = -4 // : -1

x^-2 = 4

-2 < 0

1/(x^2) = 4 // * x^2

1 = 4*x^2 // : 4

1/4 = x^2

x^2 = 1/4 // ^ 1/2

abs(x) = 1/2

x = 1/2 or x = -1/2

x in { 1/2, -1/2 }

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