Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

What number should be added to both sides of the equation to complete the sqaure x^2+8x=4

Sagot :

The number 16 must be added to the equation for making it a perfect square.

We must have the idea of algebraic identities to solve this problem. The identity of the sum of square of two variables is given below.

We know that [tex](a+b)^{2}= a^{2} +2ab+b^{2}[/tex].

So make a perfect square the equation must be of the form of [tex]a^{2} +2ab+b^{2}[/tex]

Given, [tex]x^{2} +8x=4[/tex]

     ⇒ [tex]x^{2} +2*4*x+ 4^{2}=4+4^{2}[/tex]

     ⇒  [tex](x+4)^{2}=20[/tex]

So, to complete the square we have added 16 to both the sides of the equation and now it is in the form of [tex](a+b)^{2}[/tex].

The required number to be added is 16.

To learn more about the algebraic identities visit the link:

https://brainly.com/question/16857438

#SPJ9

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.