Question 1087961
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<pre>
If  a^2+1 = 9a   then divide both sides by "a", and you will get

    {{{a + 1/a}}} = 9.   (1)


    Now square both sides of (1). You will get

    {{{a^2 + 2}}} + {{{1/a^2}}} = 81,    and then

    {{{a^2}}} + {{{1/a^2}}} = 81 - 2 = 79.
</pre>

<U>Answer</U>. 79.


Solved.