Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set: 72

Answer

$\frac{-3}{2}$ and $\frac{3}{2}$

Work Step by Step

4$x^{2}$-9=0 $(2x)^{2}$-$3^{2}$=0 (2x+3)(2x-3)=0 2x+3=0 or 2x-3=0 2x=-3 or 2x=3 x=$\frac{-3}{2}$ or x= $\frac{3}{2}$ The solutions are $\frac{-3}{2}$ and $\frac{3}{2}$ Check Let x=$\frac{-3}{2}$ 4$x^{2}$ -9=0 4$(-\frac{3}{2})^{2}$ -9=0 4$\frac{9}{4}$-9=0 9-9=0 0=0 Let x= $\frac{3}{2}$ 4$x^{2}$ -9=0 4$(\frac{3}{2})^{2}$ -9=0 4$\frac{9}{4}$-9=0 9-9=0 0=0
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