Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - Chapter Test - Page 323: 18

Answer

$$\frac{3}{13}+\frac{11}{13}i$$

Work Step by Step

Using the rules of complex numbers and combining like terms: $$\frac{\left(3\cdot \:2+1\cdot \left(-3\right)\right)+\left(1\cdot \:2-3\left(-3\right)\right)i}{2^2+\left(-3\right)^2} \\ \frac{3+11i}{13} \\ \frac{3}{13}+\frac{11}{13}i$$
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