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: 93

Answer

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.
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