Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 767: 93


We will add $\frac{25}{4}$ to make $x^2-5x$ a perfect square trinomial.

Work Step by Step

We add the square of half of the coefficent of $x$ so that the result is a perfect square trinomial. Co-efficient of $x=-5$ Half of -5 is $\frac{1}{2}×-5=\frac{-5}{2}$ Square of $\frac{-5}{2}$ is $\frac{-5}{2}×\frac{-5}{2}=\frac{25}{4}$ We add $\frac{25}{4}$ to $x^2-5x$ to make it a perfect square trinomial.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.