Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Skill Practice - Page 418: 53



Work Step by Step

Solving the equation by isolating the variable and using radicals, we find: $$\left(x-5\right)^4=256 \\ \text{Therefore:} \\ x-5=\sqrt[4]{256}\rightarrow \quad x=9 \\ \text{AND:} \\ x-5=-\sqrt[4]{256}\rightarrow \quad x=1$$
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