Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Chapter Review - Review Exercises - Page 185: 18

Answer

Real zeros $-\frac{1}{2}, \frac{1}{6}$ x-intercept $-\frac{1}{2}, \frac{1}{6}$.

Work Step by Step

Step 1. Real zeros, treat $\frac{1}{x}$ as a single unit, $ (\frac{1}{x})^2-4(\frac{1}{x})-12=0 \longrightarrow (\frac{1}{x}+2)(\frac{1}{x}-6)=0 \longrightarrow x=-\frac{1}{2}, \frac{1}{6}$ Step 2. The x-intercept is the same as the real zeros, that is $ x=-\frac{1}{2}, \frac{1}{6}$.
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