Answer
$x=4$
Work Step by Step
$\sqrt[3] {x-5} +2=1$
$\sqrt[3] {x-5} +2-2=1-2$
$\sqrt[3] {x-5} =-1$
$(\sqrt[3] {x-5})^3 =(-1)^3$
$(x-5)=-1$
$x-5=-1$
$x=4$
$\sqrt[3] {x-5} +2=1$
$\sqrt[3] {4-5} +2=1$
$\sqrt[3] {-1} +2=1$
$-1+2=1$
$1=1$ (true)
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.6 - Radical Equations and Problem Solving - Practice - Page 723: 3
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