We need to solve the following equation by completing the square:

we first pass the 9 to sum in the right side

now we add 4 in both sides of the equation, because (4/2)^2=4, obtaining

simplifying

then
![(x-2)=\pm\sqrt[]{13}](https://img.qammunity.org/2023/formulas/mathematics/college/l8tu1l62ppth2xjbmyx0aecb78didp05yy.png)
adding 2 in both sides of the equation we have that the solution is:
![x=2\pm\sqrt[]{13}](https://img.qammunity.org/2023/formulas/mathematics/college/ubztkufb1gvjtb4bzye7y1d8m5c8uw03lc.png)