Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.6 - Solving Quadratic Equations by Factoring - Exercise Set: 41

Answer

x=-$\frac{5}{9}$ or $\frac{5}{9}$

Work Step by Step

Rewrite the equation so it is in standard form. 81x$^2$=25 81x$^2$-25=0 Factor the binomial using the formula for factoring a difference of squares. (9x+5)(9x-5)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 9x+5=0 or 9x-5=0 9x=-5 or 9x=5 x=-$\frac{5}{9}$ or x=$\frac{5}{9}$ Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{5}{9}$ and $\frac{5}{9}$.
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