Question

if a+1/a =16, then find the value of a^2+1/a^2​

Answer 1

Answer:

226

Step-by-step explanation:

$\frac{a + 1}{a} = 16 \\ 16a - a = 1 \\ a = \frac{1}{15}$

$\frac{ {a}^{2} + 1 }{ {a}^{2} } = 1 + \frac{1}{ {a}^{2} } \\ = 1 + \frac{1}{ \frac{{ {1}^{2} }^{} }{ {15}^{2} } } \\ = 1 + 225 \\ = 226$