Question

rest tenth if needed.

1. ( n^2 + 9 = 81 )

Explanation:

Step1: Isolate the squared term

Subtract 9 from both sides.
$n^2 + 9 - 9 = 81 - 9$
$n^2 = 72$

Step2: Solve for n

Take square root of both sides.
$n = \pm\sqrt{72}$

Step3: Simplify and approximate

Simplify $\sqrt{72}=6\sqrt{2}\approx8.5$
$n \approx \pm8.5$

Answer:

$n \approx 8.5$ and $n \approx -8.5$