Question

यदि A = x-1/x+1 तो A+1/A का मान ज्ञात कीजिए

Answer 1

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$\bold{\underline{Question-}}$


यदि A = x-1/x+1 तो A+1/A का मान ज्ञात कीजिए


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हल-

यदि A = x-1/x+1 तो 1/A = x+1/x-1

अब A+1/A

$= > \frac{x - 1}{x + 1} + \frac{x + 1}{x - 1} \\ \\ \\ \\ = > \frac{(x - 1) {}^{2} + {(x + 1)}^{2} }{(x + 1)(x - 1)} \\ \\ \\ \\ = > \frac{ {x}^{2} - 2x + 1 + {x}^{2} + 2x + 1 }{ {x}^{2} - 1} \\ \\ \\ \\ = > \frac{ {2x}^{2} + 2}{ {x}^{2} - 1 } \\ \\ \\ \\ = > \frac{2( {x}^{2} + 1) }{( {x}^{2} - 1)}$