Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-1 Roots and Radical Expressions - Practice and Problem-Solving Exercises - Page 365: 34


$-\frac{2}{3}$ and $\frac{2}{3}$

Work Step by Step

Solve the equation by taking the fourth root of both sides: $x \pm \sqrt[4]{\frac{16}{81}} \\x = \pm \sqrt[4]{\left(\frac{2}{3}\right)^4} \\x = \pm \frac{2}{3}.$ Thus, the two real solutions of the given equation are $-\frac{2}{3}$ and $\frac{2}{3}$.
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