Math, asked by abcdef171, 1 year ago

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Answered by puja7186
1

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( - 5 + 2 \sqrt{5}  -  \sqrt{5} ) \\ ( - 5 +  \sqrt{5} ). \\ x = (7 + 4 \sqrt{3} ) \\ 1/x = 1/7 + 4 \sqrt{3}  \\ 1/7 + 4 \sqrt{3}  \times 7 - 4 \sqrt{3} /7 - 4 \sqrt{3}  \\ 7 - 4 \sqrt{3}/ (7) {}^{2}  - (4 \sqrt{3} ) {}^{2}  \\ 7  -  4 \sqrt{3} /49 - 48 \\ 7  - 4 \sqrt{3} \\ x + 1/x = 7 + 4 \sqrt{3} +  7 - 4 \sqrt{3}  \\  \:  \:  \:  \:  \:  \:  = 14.

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