Question

ƒíղժ Եհҽ ѵɑӀմҽ օƒ ɑ+1/ɑ íƒ ɑ2+1/ɑ2=7

Answer 1

$\frac{ {a}^{2} + 1 }{ {a}^{2} } = 7 \\ {a}^{2} + 1 = 7 {a}^{2} \\ 6 {a}^{2} - 1 = 0 \\ {a}^{2} = \frac{1}{6} \\ a = + - \frac{1}{ \sqrt{6} }$
$\frac{a + 1}{a} = \frac{ + - \frac{1}{ \sqrt{6} } + 1}{ + - \frac{1}{ \sqrt{6} } } \\ = \frac{ \frac{ + - 1 + \sqrt{6} }{ \sqrt{6} } }{ \frac{ + - 1}{ \sqrt{6} } } \\ = 1 + \sqrt{6}$