Question

If a/\2+1/a/\2=11, then a+1/a=?

Answer 1

`\pm √(13)`

Explanation:

`\bigg(a + (1)/(a) \bigg)^(2) = {a}^(2) + \frac{1}{ {a}^(2) } + 2 * a * (1)/(a) \\ \\ \bigg(a + (1)/(a) \bigg)^(2) = 11 + 2 \\ \\ \bigg(a + (1)/(a) \bigg)^(2) = 13 \\ \\ \bigg(a + (1)/(a) \bigg) = \pm √(13)`