Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 593: 33



Work Step by Step

Given: $x^2-\dfrac{9}{4}x$ We need to add $(\dfrac{-9}{8})^2$ to complete the square. Thus, $x^2-\dfrac{9}{4}x+(\dfrac{-9}{8})^2=x^2-\dfrac{9}{4}x+\dfrac{81}{64}$ Apply difference of polynomial formula. or, $x^2+(\dfrac{9}{8})^2-(2)(x)(\dfrac{9}{8})=(x-\dfrac{9}{8})^2$
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