Question

please solve it please yeah I willbe very gratteful

Answer 1

Step-by-step explanation:

okay , you will enjoy the answer

Answer 2

Answer:

$a + \frac{1}{a} = \sqrt{29} \\ \\ a - \frac{1}{a} = 5.$

Step-by-step explanation:

$a = \frac{1}{a - 5} \\ \\ {a}^{2} - 5a = 1 \\ \\ {a}^{2} - 5a - 1 = 0 \\ \\ a = \frac{5 + \sqrt{25 + 4} }{2} \\ \\ a = \frac{5 + \sqrt{29} }{2} \\ \\ \frac{1}{a} = \frac{2}{5 + \sqrt{29} } \\ \\ \frac{1}{a} = \frac{2(5 - \sqrt{29)} }{ {5}^{2} - 29 } \\ \\ \frac{1}{a} = \frac{2(5 - \sqrt{29} )}{ - 4} \\ \\ \frac{1}{a} = \frac{ \sqrt{29 } - 5}{2} \\ \\ then \: \: \: a + \frac{1}{a} = \frac{5 + \sqrt{29} }{2} + \frac{ \sqrt{29} - 5}{2} \\ \\ a + \frac{1}{a} = \sqrt{29} \\ \\ and \: \: \: \: \: a - \frac{1}{a} = \frac{5 + \sqrt{29} }{2} - \frac{ \sqrt{29} - 5}{2} \\ \\ a - \frac{1}{a} = 5.$