Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 10 - Compositions, Inverses, and Combinations of Functions - Review Exercises and Problems for Chapter Ten - Page 426: 77



Work Step by Step

Using the rules of Algebra to solve the equation, we find: $$\left(\sqrt{x+\sqrt{x}}\right)^2=3^2 \\ x+\sqrt{x}=9 \\ \left(\sqrt{x}\right)^2=\left(9-x\right)^2 \\ x=81-18x+x^2 \\ x=\frac{19-\sqrt{37}}{2}$$
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