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: 34

Answer

x=$\frac{4}{3}$ or -1

Work Step by Step

Rewrite the equation in standard form. 3x$^2$=x+4 3x$^2$-x=4 3x$^2$-x-4=0 Factor the trinomial. (3x-4)(x+1)=0 Set each variable factor as equal to zero and then isolate the variable to find the solutions. 3x-4=0 or x+1=0 3x=4 or x=-1 x=$\frac{4}{3}$ or x=-1 Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at $\frac{4}{3}$ and -1
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