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 - Chapter Review Exercises: 96

Answer

$m=\pm 4i$

Work Step by Step

Step 1: $m^{2}-4=-20$ Step 2: $m^{2}=-20+4$ Step 3: $m^{2}=-16$ Step 4: Using the square root property, $m=\pm\sqrt {-16}$. Step 5: $m=\pm\sqrt {-1\times16}$ Step 6: $m=\pm\sqrt {-1}\times\sqrt {16}$ Step 7: $m=\pm i\times4$ Step 8: $m=\pm 4i$
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