Question

x-3/x+3 + x+3/x-3=2½​

Answer 1

Answer 1 , if it is 2^1/2

Answer 2, if it is 2× 1/2

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Answer 2

Answer:

$\frac{x - 3}{x + 3} + \frac{x + 3}{x - 3} = 2 \ \frac{1}{2} \\ = \frac{ {(x - 3)}^{2} + {(x + 3)}^{2} }{ {(x)}^{2} - {(3)}^{2} } = \frac{5}{2} \\ = \frac{ {x}^{2} - 6x + 9 + {x}^{2} + 6x + 9 }{ {x}^{2} - 9} = \frac{5}{2} \\ = \frac{2 {x}^{2} + 18}{ {x}^{2} - 9} = \frac{5}{2} \\ = \frac{2( {x}^{2} + 9) }{ {x}^{2} - 9 } = \frac{5}{2} \\ = 4( {x}^{2} + 9) = 5( {x}^{2} - 9) \\ = 4 {x}^{2} + 36 = 5 {x}^{2} - 45 \\ = 5 {x}^{2} - 4 {x}^{2} = 36 + 45 \\ = {x}^{2} = 81 \\ x = 9$

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