Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What number should be added to both sides of the equation to complete the square?

[tex]\(x^2 - 10x = 7\)[/tex]

[tex]\(\square\)[/tex]

Sagot :

GinnyAnswer
To complete the square for the equation [tex]\(x^2 - 10x = 7\)[/tex], follow these steps:

1. Identify the coefficient of [tex]\( x \)[/tex]: The coefficient of [tex]\( x \)[/tex] is [tex]\(-10\)[/tex].

2. Divide the coefficient of [tex]\( x \)[/tex] by 2:
This coefficient is [tex]\(-10\)[/tex]. When divided by 2, it gives [tex]\(-5\)[/tex].

3. Square the result from step 2:
Squaring [tex]\(-5\)[/tex] results in [tex]\( (-5)^2 = 25 \)[/tex].

Therefore, the number that should be added to both sides of the equation [tex]\(x^2 - 10x = 7\)[/tex] to complete the square is [tex]\(\boxed{25}\)[/tex].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.