Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

PLEASE HELP!!!
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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.