Math, asked by reshu8799, 11 months ago

x-3/×+3 + x+3/x-3=5/2 solve in quadratic equation​

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Answered by brunoconti
2

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Answered by Anonymous
3

Answer:

 \frac{x - 3}{x + 3}  +  \frac{x + 3}{x - 3}  =  \frac{5}{2}  \\  \frac{(x - 3) {}^{2} + (x + 3) {}^{2}  }{(x + 3)(x - 3)}  =  \frac{5}{2}  \\  \frac{2 \times( x {}^{2} + 3 { }^{2})  }{ x {}^{2} - 3  {}^{2} }  =  \frac{5}{2}  \\ 4x {}^{2}  + 36 = 5x {}^{2}  - 45 \\ x {}^{2}  = 45 + 36 \\ x {}^{2}  = 81 \\ x = ( +  - ) \sqrt{81}  \\ x =(  +  - )9

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