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Lostsunrise [7]
3 years ago
10

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

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0
\frac{x}{x - 2} + \frac{x + 2}{x} \ \textgreater \ 2
\frac{x(x)}{x(x - 2)} + \frac{(x - 2)(x + 2)}{x(x - 2)} \ \textgreater \ 2
\frac{x^{2}}{x(x - 2)} + \frac{x^{2} - 4}{x(x - 2)} \ \textgreater \ 2
\frac{x^{2} + x^{2} - 4}{x(x - 2)} \ \textgreater \ 2
\frac{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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<h2>Greetings!</h2>

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