College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.4 - Solving Quadratic Equations - 1.4 Exercises - Page 123: 20


$x=\displaystyle \frac{1}{2}$ or $x=-\displaystyle \frac{7}{2}$

Work Step by Step

We complete the square: $ x^{2}+3x-\displaystyle \frac{7}{4}=0$ $x^{2}+3x=\frac{7}{4}$ $x^{2}+3x+\frac{9}{4}=\frac{7}{4}+\frac{9}{4}=\frac{16}{4}=4$ $(x+\frac{3}{2})^{2}=4$ $x+\frac{3}{2}=\pm 2$ $x=-\frac{3}{2}\pm 2$ $x=\displaystyle \frac{1}{2}$ or $x=-\displaystyle \frac{7}{2}$
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