The values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].
Given information:
The quadratic equation is [tex]x^2+8x+11=0[/tex].
It is required to factorize the given quadratic equation using completing the square method.
Use completing the square method to solve the equation as,
[tex]x^2+8x+11=0\\(x)^2+2(x)(4)+4^2-4^2+11=0\\( (x)^2+2(x)(4)+4^2)-4^2+11=0\\(x+4)^2-16+11=0\\(x+4)^2=5\\(x+4)=\pm \sqrt{5} \\x=-4 \pm \sqrt{5}[/tex]
Therefore, the values of x in the quadratic equation using completing the square method are [tex]x=-4 \pm \sqrt{5}[/tex].
For more details about quadratic equation, refer to the link:
https://brainly.com/question/2263981