16-1/x^2

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Solution for 16-1/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)

16-(1/(x^2)) = 0

16-x^-2 = 0

-1*x^-2 = -16 // : -1

x^-2 = 16

-2 < 0

1/(x^2) = 16 // * x^2

1 = 16*x^2 // : 16

1/16 = x^2

x^2 = 1/16 // ^ 1/2

abs(x) = 1/4

x = 1/4 or x = -1/4

x in { 1/4, -1/4 }

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