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: 11

Answer

Zeros $\frac{2\pm\sqrt {6}}{2}$. x-intercepts $\frac{2\pm\sqrt {6}}{2}$.

Work Step by Step

Step 1. Zeros $2x^2-4x-1=0 \longrightarrow x=\frac{4\pm\sqrt {16-4(2)(-1)}}{2(2)}=\frac{2\pm\sqrt {6}}{2}$. Step 2. The x-intercepts are the same as the zeros, that is $x=\frac{2\pm\sqrt {6}}{2}$.
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