1/2-6/x^2=2/x^2

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Solution for 1/2-6/x^2=2/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)

1/2-(6/(x^2)) = 2/(x^2) // - 2/(x^2)

1/2-(6/(x^2))-(2/(x^2)) = 0

1/2-6*x^-2-2*x^-2 = 0

-8*x^-2 = -1/2 // : -8

x^-2 = 1/16

-2 < 0

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

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

16 = x^2

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 4, -4 }

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