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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 542RE (page 854)

In the following exercises, solve $\sqrt[3]{4 x + 5} - 2 = - 5$

Short Answer

Expert verified

Solution is $x = - 8$

Step by step solution

Given information

Solve $\sqrt[3]{4 x + 5} - 2 = - 5$

Solution

We have

$\sqrt[3]{4 x + 5} - 2 = - 5 \sqrt[3]{4 x + 5} = - 3 4 x + 5 = {(- 3)}^{3} 4 x = - 27 - 5 x = \frac{- 32}{4} x = - 8$

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In the following exercises, solve $\sqrt[3]{4 x + 5} - 2 = - 5$