x/x-2+x/x-2=4/x^2-4

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Solution for x/x-2+x/x-2=4/x^2-4 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

x/x+x/x-2-2 = 4/(x^2)-4 // - 4/(x^2)-4

x/x-(4/(x^2))+x/x-2-2+4 = 0

x/x-4*x^-2+x/x-2-2+4 = 0

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

x^-2 = 1/2

-2 < 0

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

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

2 = x^2

x^2 = 2 // ^ 1/2

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

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

x in { 2^(1/2), -2^(1/2) }

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