Question

solve this problem 18

Answer 1

I think some mistakes in your question

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Answer 2

Hello here,........
$given \: \: \\ x = \frac{5 - \sqrt{3} }{5 + \sqrt{3} } \\ \\ y = \frac{5 + \sqrt{3} }{5 - \sqrt{3} } \\ \\ to \: find \: \: {x}^{2} - {y}^{2} = \frac{ - 10 \sqrt{3} }{11} \\ \\ solution \: \\ value \: of \: x \: and \: y \\ therefore \: \\ {x}^{2} - {y}^{2} = ( { \frac{5 - \sqrt{3} }{5 + \sqrt{3} } )}^{2} - ( { \frac{5 + \sqrt{3} }{5 - \sqrt{3} }) }^{2} \\ \\ = > ( \frac{25 - 3}{5 + 3} ) - ( \frac{25 + 3}{5 - 3} ) \\ \\ = > ( \frac{125 - 3 + 15}{5} - ( \frac{125 + 3 - 15}{5} ) \\ \\ = > ( \frac{137}{5} ) - ( \frac{113}{5} ) \\ \\ = > \frac{24}{5} \: \: answer.$
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