Question

PLEASE HELP!!! Solve the quadratic equation by completing the square.

Answer 1

The values of x in the quadratic equation using completing the square method are $x=-4 \pm \sqrt{5}$.

Given information:

The quadratic equation is $x^2+8x+11=0$.

It is required to factorize the given quadratic equation using completing the square method.

How to factorize a quadratic equation?

Use completing the square method to solve the equation as,

$x^2+8x+11=0\\(x)^2+2(x)(4)+4^2-4^2+11=0\\( (x)^2+2(x)(4)+4^2)-4^2+11=0\\(x+4)^2-16+11=0\\(x+4)^2=5\\(x+4)=\pm \sqrt{5} \\x=-4 \pm \sqrt{5}$

Therefore, the values of x in the quadratic equation using completing the square method are $x=-4 \pm \sqrt{5}$.

For more details about quadratic equation, refer to the link:

brainly.com/question/2263981