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: 71


$t=\pm 4i$

Work Step by Step

Step 1: $3t^{2}+45=-3$ Step 2: $3t^{2}=-3-45$ Step 3: $3t^{2}=-48$ Step 4: $t^{2}=-16$ Step 5: Using the square root property, $t=\pm\sqrt {-16}$. Step 6: $t=\pm\sqrt {-1\times16}$ Step 7: $t=\pm\sqrt {-1}\times\sqrt {16}$ Step 8: $t=\pm i\times4$ Step 9: $t=\pm 4i$
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