College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises: 11

Answer

$z=0$ or $z=\sqrt[3]{\frac{5}{2}}$

Work Step by Step

We solve by factoring: $4z^{5}-10z^{2}=0$ $2z^{2}(2z^{3}-5)=0$ $2z^{2}=0$ or $2z^{3}-5=0$ $z^2=0$ or $z^3=5/2$ $z=0$ or $z=\sqrt[3]{\frac{5}{2}}$
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