Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.5 Equations Reducible to Quadratic - 11.5 Exercise Set - Page 731: 6

Answer

Fill the blank with $x^{\frac{1}{4}}$.

Work Step by Step

With substitution $u=x^{\frac{1}{4}}$, and $x^{\frac{1}{2}}=u^{2}$. The equation becomes $u-u^{2}-2=0$. Multiply both sides by $-1$ to get $u^{2}-u-2=0$.
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