Answer
$\{3\}$
Work Step by Step
Use distributive property.
$z\cdot z^2+z\cdot 1=3+z^3$
Simplify.
$z^3+z=3+z^3$
Subtract $z^3$ from both sides.
$z^3+z-z^3=3+z^3-z^3$
Simplify.
$z=3$
Hence, the solution to the equation is $\{3\}$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.6 Solving Equations - A.6 Assess Your Understanding - Page A51: 37
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