Answer
$\overline{z}=5+2i$ and $|z|=\sqrt{29}$.
Work Step by Step
Of a complex number $z=a+bi$, $\overline{z}=a-bi$ and $|z|=\sqrt{a^2+b^2}$
Hence here, $\overline{z}=5-(-2i)=5+2i$ and $|z|=\sqrt{5^2+(-2)^2}=\sqrt{29}$.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Appendix A - Review of Complex Numbers - Exercises for A - Problems - Page 795: 3
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