Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises - Page 121: 9


Option (D); $x=\left\{\frac{1}{3}, 7\right\}$

Work Step by Step

RECALL: The zero-factor property states that if $ab=0$, then either $a=0$ or $b=0$ or both are zero. Among the given equation, the one in Option (D) is set up for direct use of the zero-factor property. Using the property gives: \begin{array}{ccc} &3x-1=0 &\text{or} &x-7=0 \\&3x=1 &\text{or} &x=7 \\&x=\frac{1}{3} &\text{or} &x=7 \end{array} Thus, $x=\left\{\frac{1}{3}, 7\right\}$.
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