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Expression Formation

If a=9, fin...

Question

If $a = 9$ , find the value of $a^{2} + \frac{1}{a^{2}}$

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Solution

Given $a = 9$
$a^{2} + \frac{1}{a^{2}} = 9^{2} + \frac{1}{9^{2}} = 81 + \frac{1}{81} = \frac{6561 + 1}{81}$
$= \frac{6562}{81} = 81.01$

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