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: 17

Answer

Real zero $25$ x-intercept $25$.

Work Step by Step

Step 1. Real zeros, treat $\sqrt x$ as a single unit, $3x-13\sqrt x-10=0 \longrightarrow 3(\sqrt x)^2-13(\sqrt x)-10=0 \longrightarrow (3\sqrt x+2)(\sqrt x-5)=0 \longrightarrow x=25$ Step 2. The x-intercept is the same as the real zeros, that is $ x=25$.
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