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Solve x/ x-2 + x+2/ x >2

1 Answer

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(x)/(x - 2) + (x + 2)/(x) \ \textgreater \ 2

(x(x))/(x(x - 2)) + ((x - 2)(x + 2))/(x(x - 2)) \ \textgreater \ 2

(x^(2))/(x(x - 2)) + (x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2

(x^(2) + x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2

(2x^(2) - 4)/(x(x - 2)) \ \textgreater \ 2

2x(x - 2) \ \textgreater \ 2x^(2) - 4

2x^(2) - 4x \ \textgreater \ 2x^(2) - 4

-4x \ \textgreater \ 4

x \ \textgreater \ -1
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