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: 23

Answer

x=0 or $\frac{5}{2}$

Work Step by Step

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