Math, asked by yugankverma851, 2 months ago

If x = 2 + sqrt(5) find the value of x + 1/x​

Answers

Answered by studylover001
17

Answer:

Answer :

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Answered by manasvi61
2

Answer:

x = 2 +  \sqrt{5}  \\ x +  \frac{1}{x}  \\  2 +  \sqrt{5}  +  \frac{1}{(2 +  \sqrt{5}) }  \\  {(2 +  \sqrt{5} )}^{2}  +  \frac{1}{(2 +  \sqrt{5}) } \\ 4 + 5 + 4 \sqrt{5}  +  \frac{1}{(2 +  \sqrt{5}) } \\ 10 + 4 \sqrt{5}  +  \frac{1}{(2 +  \sqrt{5}) } \\ 10 +  \frac{4 \sqrt{5} (2 - 4 \sqrt{5} )}{ ({2})^{2} -  {( \sqrt{5} )}^{2}  }  \\ 20 - 40 \sqrt{5}  + \frac{8 \sqrt{5}  - 90}{4 - 5}  \\  - 70  -  \frac{32 \sqrt{5} }{ - 1}  \\ 70 + 32 \sqrt{5}

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