Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Mia is solving the equation x2 – 12x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?


9


-9


36


8

Sagot :

adioabiola

The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;

  • First, the completing the square method usually takes the form;

  • x² + bx = (x + b/2)² + c

In this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.

This so because the expansion of (x - 6)² becomes;

  • x² - 12x + 36.

Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.

Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

Read more;

https://brainly.com/question/9240658

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.