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 - Page 473: 42


x=-$\frac{7}{5}$ or $\frac{7}{5}$

Work Step by Step

Rewrite the equation so it is in standard form. 25x$^2$=49 25x$^2$-49=0 Factor the binomial using the formula for factoring a difference of squares. (5x+7)(5x-7)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 5x+7=0 or 5x-7=0 5x=-7 or 5x=7 x=-$\frac{7}{5}$ or x=$\frac{7}{5}$ Enter the equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{7}{5}$ or $\frac{7}{5}$.
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