Question

x = \frac{9 \pm \sqrt{65}}{2}

Explanation:

Step1: Split into two solutions

$x_1=\frac{9+\sqrt{65}}{2}, \quad x_2=\frac{9-\sqrt{65}}{2}$

Step2: Calculate decimal approximations

$\sqrt{65}\approx8.0623$, so:
$x_1=\frac{9+8.0623}{2}=\frac{17.0623}{2}\approx8.531$
$x_2=\frac{9-8.0623}{2}=\frac{0.9377}{2}\approx0.469$

Answer:

$x=\frac{9+\sqrt{65}}{2}\approx8.53$ and $x=\frac{9-\sqrt{65}}{2}\approx0.47$