Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.5 Complex Numbers - 8.5 Exercises - Page 663: 70


$w=\pm 5i$

Work Step by Step

Step 1: $w^{2}+25=0$ Step 2: $w^{2}=-25$ Step 3: Using the square root property, $w=\pm\sqrt {-25}$. Step 4: $w=\pm\sqrt {-1\times25}$ Step 5: $w=\pm\sqrt {-1}\times\sqrt {25}$ Step 6: $w=\pm i\times5$ Step 7: $w=\pm 5i$
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