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: 33

Answer

x=-$\frac{1}{2}$ or 4

Work Step by Step

Rewrite the equation in standard form. 2x$^2$=7x+4 2x$^2$-7x=4 2x$^2$-7x-4=0 Factor the trinomial. (2x+1)(x-4)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 2x+1=0 or x-4=0 2x=-1 or x=4 x=-$\frac{1}{2}$ or x=4 Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at -$\frac{1}{2}$ and 4.
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