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: 21

Answer

$x=-3/2$ or $x=1/2$

Work Step by Step

We complete the square: $x^{2}+x-\displaystyle \frac{3}{4}=0$ $x^{2}+x=\frac{3}{4}$ $x^{2}+x+\frac{1}{4}=\frac{3}{4}+\frac{1}{4}=1$ $(x+\frac{1}{2})^{2}=1$ $x+\frac{1}{2}=\pm 1$ $x=-\frac{1}{2}\pm 1$ So the two solutions are: $x=-\displaystyle \frac{1}{2}-1=-\frac{3}{2}$ And: $x=-\displaystyle \frac{1}{2}+1=\frac{1}{2}$
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