Answer:
-1, -9
Step-by-step explanation:
Given the expression;

To apply the completing the square method;
First, subtract 9 from both sides

Complete the square by adding the half of the square of the coefficient of x to both sides of the expression as shown;

Next is to find the values of x by squaring both sides of the expression;
![\begin{gathered} \sqrt[]{(x+5)^2}=\pm\sqrt[]{16} \\ x_{}+5=\pm4 \\ x+5\text{ = 4 and x+5=-4} \\ x\text{ = 4-5 and x = -4-5} \\ x\text{ = -1 and x =-9} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rhs936mvc8oc6chise2edt6zusv4ph2byh.png)
Hence the values of x are -1 and -9