Jadah0141 Jadah0141
  • 24-05-2016
  • Mathematics
contestada

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

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Panoyin
Panoyin Panoyin
  • 24-05-2016
[tex]\frac{x}{x - 2} + \frac{x + 2}{x} \ \textgreater \ 2[/tex]
[tex]\frac{x(x)}{x(x - 2)} + \frac{(x - 2)(x + 2)}{x(x - 2)} \ \textgreater \ 2[/tex]
[tex]\frac{x^{2}}{x(x - 2)} + \frac{x^{2} - 4}{x(x - 2)} \ \textgreater \ 2[/tex]
[tex]\frac{x^{2} + x^{2} - 4}{x(x - 2)} \ \textgreater \ 2[/tex]
[tex]\frac{2x^{2} - 4}{x(x - 2)} \ \textgreater \ 2[/tex]
[tex]2x(x - 2) \ \textgreater \ 2x^{2} - 4[/tex]
[tex]2x^{2} - 4x \ \textgreater \ 2x^{2} - 4[/tex]
[tex]-4x \ \textgreater \ 4[/tex]
[tex]x \ \textgreater \ -1[/tex]
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