2-(1/x^2)0

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Solution for 2-(1/x^2)0 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)

2-(1/(x^2)) > 0

2-x^-2 > 0

-1*x^-2 > -2

-1*x^-2 > -2 // * -1

1*x^-2 < 2

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

x^-2 < 2/1

x^-2 < 2

1/(x^2) < 2

x <> 0

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

(x^4)/(x^2) < 2*x^4

x^2 < 2*x^4

x^2-2*x^4 < 0

x^2*(1-2*x^2) < 0

x^2*(1-2*x^2) < 0 // : x^2

1-2*x^2 < 0

1 < 2*x^2 // : 2

1/2 < x^2

x^2 > 1/2 // ^ 1/2

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

x in (-oo:-(1/2)^(1/2)) U ((1/2)^(1/2):+oo)

x in (-oo:-(1/2)^(1/2)) U ((1/2)^(1/2):+oo)

(-oo:-(1/2)^(1/2)) U ((1/2)^(1/2):+oo)

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