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: 32



Work Step by Step

Rewrite the equation in standard form. 9x$^2$=30x-25 9x$^2$-30x=-25 9x$^2$-30x+25=0 Factor the trinomial. (3x-5)(3x-5)=0 (3x-5)$^2$=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 3x-5=0 3x=5 x=$\frac{5}{3}$ Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{5}{3}$
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