Answer
$x=\frac{7}{3}$
Work Step by Step
$27x^3-343=0$
$27x^3=343$
$x^3=\frac{343}{27}$
$x=\sqrt[3] {\frac{343}{27}}=\sqrt[3] {\frac{7^3}{3^3}}$
$x=\frac{7}{3}$
Check the solution:
$27(\frac{7}{3})^3-343=27·\frac{343}{27}-343=343-343=0$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 12
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