4-(1/x^2)0

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Solution for 4-(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)

4-(1/(x^2)) > 0

4-x^-2 > 0

-1*x^-2 > -4

-1*x^-2 > -4 // * -1

1*x^-2 < 4

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

x^-2 < 4/1

x^-2 < 4

1/(x^2) < 4

x <> 0

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

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

x^2 < 4*x^4

x^2-4*x^4 < 0

x^2*(1-4*x^2) < 0

x^2*(1-4*x^2) < 0 // : x^2

1-4*x^2 < 0

1 < 4*x^2 // : 4

1/4 < x^2

x^2 > 1/4 // ^ 1/2

abs(x) > 1/2

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

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

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

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