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x = (9 ± √(81 - 16)) / 2

Question

x = (9 ± √(81 - 16)) / 2

Explanation:

Step1: Simplify the radicand

Calculate $81 - 16 = 65$, so the expression becomes:
$x = \frac{9 \pm \sqrt{65}}{2}$

Step2: Identify the two solutions

Split the $\pm$ into two separate expressions:
$x_1 = \frac{9 + \sqrt{65}}{2}$, $x_2 = \frac{9 - \sqrt{65}}{2}$

Answer:

$x = \frac{9 + \sqrt{65}}{2}$ and $x = \frac{9 - \sqrt{65}}{2}$