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Solve the quadratic equation by completing the square.

PLEASE HELP Solve The Quadratic Equation By Completing The Square class=

Sagot :

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.

How to factorize a quadratic equation?

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

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