Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Quiz (Sections 8.1-8.4) - Page 385: 2d



Work Step by Step

Complex numbers are divided by multiplying the numerator and denominator by the complex conjugate of the denominator: Step 1: $\frac{3+5i}{-4+i}\times\frac{-4-i}{-4-i}$ Step 2: $\frac{(3+5i)(-4-i)}{(-4+i)(-4-i)}$ Step 3: $\frac{3(-4-i)+5i(-4-i)}{-4(-4-i)+i(-4-i)}$ Step 4: $\frac{-12-3i-20i-5i^{2}}{16+4i-4i-i^{2}}$ Step 5: $\frac{-12-23i-5i^{2}}{16-i^{2}}$ Step 6: $\frac{-12-23i-5(-1)}{16-(-1)}$ Step 7: $\frac{-12-23i+5}{16+1}$ Step 8: $\frac{-7-23i}{17}$ Step 9: $-\frac{7}{17}-\frac{23i}{17}$ The answer is in rectangular form.
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