Question

If a^2+1÷a^2 = 23, find the value of (a+1÷a)​

Answer 1

Answer:

${a}^{2} + \frac{ 1 }{ {a}^{2} } = 23 \\ {(a + \frac{1}{a} )}^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \\ {(a + \frac{1}{a} )}^{2} = 23 + 2 = 25 \\ \\ a + \frac{1}{a} = |5|$